Exercise 5.6

Download as PDF.

NCERT Solutions class 12 Continuity & Differentiability

If  and  are connected parametrically by the equations given in Exercise 1 to 5, without eliminating the parameter, find  

1.  

Ans. Given:  and

  and

  =  and  =

Now

NCERT Solutions class 12 Maths Exercise 5.6

2.  

Ans. Given:      and

   and     

  and

  and

Now

NCERT Solutions class 12 Maths Exercise 5.6

3.  

Ans. Given:  and

  and =

Now

4.  

Ans. Given:  and

  =  and =  =

Now

5.  

Ans. Given:  and

  and

  and

  and

  and

Now

If  and  are connected parametrically by the equations given in Exercises 6 to 10, without eliminating the parameter, find  

6.  

Ans. Given:  and

  and

  and

   and =

  =

=

=

=

7.  

Ans. Given:  and

   [By quotient rule]

=

=

=

=

And  [By quotient rule]

=

=

=

=

=

=

=

=

=

8.  

Ans. Given:  and

=

=

=

=

=  =  =

And

  =

9.  

Ans. Given:  and

  and

=

=

=

=

=

10.  

Ans. Given:  and

=

And

=  =

NCERT Solutions class 12 Maths Exercise 5.6

11. If  show that  

Ans. Given:

=  and

=

=

And    

=

=  =