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RD Sharma Solution CLass 12 Mathematics Chapter 8 Solution of Simultaneous Linear Equations

Chapter 8 – Solution of Simultaneous Linear Equations Exercise Ex. 8.1

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Using A-1, solve the system of
linear equations

X – 2y = 10, 2x + y + 3z = 8 and -2y + z
= 7

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 45

The management committee of a
residential colony decided to award some of its members (say x) for honesty,
some (say y) for helping and others (say z) for supervising the workers to
keep the colony neat and clean. The sum of all the awardees is 12. Three
times the sum of awardees for cooperation and supervision added to two times
the number of awardees for honesty is 33. If the sum of the number of
awardees for honesty and supervision is twice the number of awardees for
helping others, using matrix method, find the number of awardees of each
category. Apart from these values, namely, honesty, cooperation and
supervision, suggest one more value which the management must include for
awards.

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 46

A school wants to award its students
for the values of Honesty, Regularity and Hard work with a total cash award
of Rs. 6000. Three times the award money for Hard work added to that given
for honesty amounts to Rs. 11000. The award money given for Honesty and Hard work
together is double the one given for Regularity. Represent the above
situation algebraically and find the award for each value, using matrix
method. Apart from these values, namely, Honesty, Regularity and Hard work, suggest
one more value which the school must include for awards.

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear EquationsRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

The school can include
an award for creativity and extra-curricular activities.

Question 47

Two institutions decided to award
their employees for the three values of resourcefulness, competence and
determination in the form of prizes at the rate of Rs. x, Rs. y and Rs. z respectively per person. The first
institution decided to award respectively 4, 3 and 2 employees with a total prize money of Rs. 37000 and the second
institution decided to award respectively 5, 3 and 4 employees with a total
prize money of Rs. 47000. If all the three prizes per person together amount
to Rs. 12000, then using matrix method find the value of x, y and z. What values are described in these
equations?

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 48

Two factories decided
to award their employees for three values of (a) adaptable to new techniques,
(b) careful and alert in difficult situations and (c) keeping calm in tense
situations, at the rate of Rs. x,
Rs. y and Rs. z per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs. 29000. The second factory
decided to honour respectively 5, 2 and 3 employees
with the prize money of Rs. 30500. If the three prizes per person together
cost Rs 9500, then

(i)
represent the above situation by matrix equation and
form linear equations using matrix multiplication.

(ii) Solve these
equations using matrices.

(iii) Which values are
reflected in the questions?

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Keeping calm in a tense
situation is more rewarding than carefulness, and carefulness is more
rewarding than adaptability.

Question 49

Two schools A and B want to award
their selected students on the values of sincerity, truthfulness and
helpfulness. The school A wants to award Rs. x each Rs. y each and
Rs. z each for the three respective
values to 3, 2 and 1 students respectively with a total
award money of Rs. 1,600. School B wants to spend Rs 2,300 to award its 4, 1
and 3 students on the respective values (by giving the same award money to
the three values as before). If the total amount of award for one prize on
each value is Rs 900, using matrices, find the award money for each value.
Apart from these three values, suggest one more value which should be
considered for award.

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 50

Two schools P and Q want to award
their selected students on the values of Discipline, Politeness and
Punctuality. The school P wants to
award Rs. x each, Rs. y each and Rs. z each for the three respectively values to its 3, 2 and 1
students with a total award money of Rs. 1,000. School Q wants to spend Rs. 1,500 to award its 4, 1 and 3 students on
the respective values (by giving the same award money for three values as
before). If the total amount of awards for one prize on each value is Rs.
600, using matrices, find the award money for each value. Apart from the
above three values, suggest one more value for awards.

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 51

Two schools P and Q want to award
their selected students on the values of Tolerance, Kindness and Leadership.
The school P wants to award Rs. x each, Rs. y each and Rs. z each
for the three respectively values to its 3, 2 and 1 students with a total
award money of Rs. 2,200. School Q
wants to spend Rs. 3,100 to award its 4, 1 and 3 students on the respective
values (by giving the same award money to the three values as school P). If the total amount of award for
one prize on each values is Rs. 1,200, using matrices, find the award money
for each value. Apart from these three values, suggest one more value which
should be considered for award.

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 52

A total amount of Rs. 7000 is
deposited in three different saving bank accounts with annual interest rates
5%, 8% and 8.5% respectively. The total annual interest from these three
accounts is Rs. 550. Equal amounts have been deposited in the 5% and 8%
savings accounts. Find the amount deposited in each of the three accounts,
with the help of matrices.

Solution 52

Let the amount
deposited be x, y and z respectively.

As per the data in the
question, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Chapter 8 – Solution of Simultaneous Linear Equations Exercise Ex. 8.2

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Chapter 8 – Solution of Simultaneous Linear Equations Exercise Ex. 8VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Chapter 8 – Solution of Simultaneous Linear Equations Exercise MCQ

Question 1

The system of equation x + y + z = 2, 3x – y + 2z = 6 and 3x + y + z = -18 has

a. a unique solution

b. no solution

c. an infinite number of solutions

d. zero solution as the only solution

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

a. 3

b. 2

c. 1

d. 0

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 4

The number of solutions of the system of equations:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations, is

a. 3

b. 2

c. 1

d. 0

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 5

The system of linear equations:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Has a unique solution if

a. k ≠ 0

b. -1 < k < 1

c. -2 < k < 2

d. k = 0

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 6

Consider the system of equations:

a1x + b1y + c1z = 0

a2x + b2y + c2z = 0

a3x + b3y + c3z = 0.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

a. more than two solutions

b. one trivial and one non-trivial solutions

c. no solution

d. only trivial solution (0, 0, 0)

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 7

Let a, b , c be positive real numbers. The following system of equations in x, y and z

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

a. no solutions

b. unique solution

c. there is no solution

d. finitely many solutions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 8

For the system of equations :

x + 2y + 3x = 1

2x + y + 3z = 2

5x + 5y + 9z = 4

a. there is only one solution

b. there exists infinitely many solution

c. there is no solution

d. none of these

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 9

The existence of the unique solution of the system of equations:

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

x + y +z = λ

5x – y + μz = 10

2x + 3y – z = 6 depends on

a. μ only

b. λ only

c. λ and μ both

d. neither λ nor μ

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

Question 10

The system of equations:

x + y + z = 5

x + 2y + 3z = 9

x + 3y + λz = μ

Has a unique solution, if

a. λ = 5, μ = 13

b. λ ≠ 5

c. λ = 5, μ ≠ 13

d. μ ≠ 13

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Solution Of Simultaneous Linear Equations

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