NCERT Solutions for Maths Class 12 Exercise 5.6

Hello Students! In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 5.6.

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NCERT Solutions for Maths Class 12 Exercise 5.1
NCERT Solutions for Maths Class 12 Exercise 5.2
NCERT Solutions for Maths Class 12 Exercise 5.3
NCERT Solutions for Maths Class 12 Exercise 5.4
NCERT Solutions for Maths Class 12 Exercise 5.5
NCERT Solutions for Maths Class 12 Exercise 5.7

NCERT Solutions for Maths Class 12 Exercise 5.6

If x and y are connected parametrically by the equations given in Questions 1 to 10, without eliminating the parameter, find dy/dx.

Maths Class 12 Ex 5.6 Question 1.

x = 2at², y = at⁴

Solution:

We have, x = 2at², y = at⁴

Maths Class 12 Ex 5.6 Question 2.

x = a cos θ, y = b cos θ

Solution:
We have, x = a cos θ, y = b cos θ

Maths Class 12 Ex 5.6 Question 3.

x = sin t, y = cos 2t

Solution:
We have, x = sin t, y = cos 2t

Maths Class 12 Ex 5.6 Question 4.

x = 4t, y = 4/t

Solution:

We have, x = 4t, y = 4/t

Maths Class 12 Ex 5.6 Question 5.

x = cos θ – cos 2θ, y = sin θ – sin 2θ

Solution:
We have, x = cos θ – cos 2θ, y = sin θ – sin 2θ

Maths Class 12 Ex 5.6 Question 6.

x = a(θ – sin θ), y = a(1 + cos θ)

Solution:
We have, x = a(θ – sin θ), y = a(1 + cos θ)

Maths Class 12 Ex 5.6 Question 7.

Solution:

Maths Class 12 Ex 5.6 Question 8.

Solution:

Maths Class 12 Ex 5.6 Question 9.

x = a sec θ, y = b tan θ

Solution:
We have, x = a sec θ, y = b tan θ

Maths Class 12 Ex 5.6 Question 10.

x = a(cos θ + θ sin θ), y = a(sin θ – θ cos θ)

Solution:
We have, x = a(cos θ + θ sin θ), y = a(sin θ – θ cos θ)

Maths Class 12 Ex 5.6 Question 11.

Solution:

NCERT Solutions for Maths Class 12 Exercise 5.6