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 = at^{4}

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