# NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6

These NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.6

Question 1.
x = 2at², y = at4
Solution:

Question 2.
x = a cos θ, y = b cos θ
Solution:

Question 3.
x = sin t, y = cos 2t
Solution:

Question 4.
$$x=4t,y=\frac { 4 }{ t }$$
Solution:

Question 5.
x = cos θ – cos 2θ, y = sin θ – sin 2θ
Solution:

Question 6.
x = a(θ – sinθ), y = a(1 + cosθ)
Solution:

Question 7.
$$x=\frac { { sin }^{ 3 }t }{ \sqrt { cos2t } } \& y=\frac { { cos }^{ 3 }t }{ \sqrt { cos2t } }$$
Solution:

Question 8.
$$x=a\left( cost+log\quad tan\frac { t }{ 2 } \right) ,y=a\quad sint$$
Solution:

Question 9.
x = a sec θ, y = b tan θ
Solution:

Question 10.
x = a(cosθ + θsinθ), y = a(sinθ – θcosθ)
Solution:

Question 11.
If $$x=\sqrt { { a }^{ { sin }^{ -1 }t } } ,y=\sqrt { { a }^{ { cos }^{ -1 }t } }$$ show that $$\frac { dy }{ dx } =-\frac { y }{ x }$$
Solution:
Given that

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