NCERT Solutions for Class 12 Maths Chapter 5 – Continuity and Differentiability Ex 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 2t
Answer:
The given equations are x = sin t and y = cos 2t
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.
