## Chapter 23 – The Straight Lines Exercise Ex. 23.1

## Chapter 23 – The Straight Lines Exercise Ex. 23.10

Find the equations of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.

Find the equation of the line passing through the point

of intersection of the lines 5x – 6y – 1 = 0 and 3x + 2y + 5 = 0 and

perpendicular to the line 3x – 5y + 11 = 0.

## Chapter 23 – The Straight Lines Exercise Ex. 23.11

## Chapter 23 – The Straight Lines Exercise Ex. 23.12

Find the equation of the straight line passing through the point of intersection of the lines 5x – 6y – 1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the line 3x – 5y + 11 = 0.

## Chapter 23 – The Straight Lines Exercise Ex. 23.13

## Chapter 23 – The Straight Lines Exercise Ex. 23.14

## Chapter 23 – The Straight Lines Exercise Ex. 23.15

## Chapter 23 – The Straight Lines Exercise Ex. 23.16

Find the ratio in which the line 3x + 4y + 2 = 0

divides the distance between the lines 3x + 4y + 5 = 0 and 3x + 4y – 5 = 0.

## Chapter 23 – The Straight Lines Exercise Ex. 23.17

Deduce the condition for these lines to form a rhombus.

## Chapter 23 – The Straight Lines Exercise Ex. 23.18

Consider the following figure:

## Chapter 23 – The Straight Lines Exercise Ex. 23.19

## Chapter 23 – The Straight Lines Exercise Ex. 23.2

## Chapter 23 – The Straight Lines Exercise Ex. 23.3

## Chapter 23 – The Straight Lines Exercise Ex. 23.4

## Chapter 23 – The Straight Lines Exercise Ex. 23.5

Find the equation of the side BC of the triangle ABC whose vertices are A (-1, -2), B (0, 1) and (2, 0) respectively. Also, find the equation of the median through (-1, -2).

Find the equations of the diagonals of the square

formed by the lines x = 0, y = 0, x = 1 and y = 1.

## Chapter 23 – The Straight Lines Exercise Ex. 23.6

3

For what values of a and b the intercepts cut off on the coordinate axes by the line ax + by +8 = 0 are equal in length but opposite in signs to those cut off by the line 2x – 3y + 6 = 0 on the axes.

Find the equation of the line which passing through the point (-4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by this point

## Chapter 23 – The Straight Lines Exercise Ex. 23.7

Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x-axis is 30^{0}.

## Chapter 23 – The Straight Lines Exercise Ex. 23.8

## Chapter 23 – The Straight Lines Exercise Ex. 23.9

## Chapter 23 – The Straight Lines Exercise Ex. 23VSAQ