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