## EXERCISE 5.6

#### Page No 181:

#### Question 1:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 2:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

*x* = *a* cos *θ*, *y* = *b* cos *θ*

#### Answer:

The given equations are *x* = *a* cos *θ* and *y* = *b* cos *θ*

#### Question 3:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

*x* = sin *t*, *y* = cos 2*t*

#### Answer:

The given equations are *x* = sin *t* and *y* = cos 2*t*

#### Question 4:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 5:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 6:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 7:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 8:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 9:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 10:

If *x* and *y* are connected parametrically by the equation, without eliminating the parameter, find.

#### Answer:

The given equations are

#### Question 11:

If

#### Answer:

The given equations are

Hence, proved.