NCERT Solutions for Maths Class 12 Exercise 8.1

NCERT Solutions for Maths Class 12 Exercise 8.1

Hello Students. In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 8.1.

You can download the PDF of NCERT Books Maths Chapter 9 for your easy reference while studying NCERT Solutions for Maths Class 12 Exercise 8.1.

All the schools affiliated with CBSE, follow the NCERT books for all subjects. You can check your syllabus from NCERT Syllabus for Mathematics Class 12.

If you want to recall All Maths Formulas for Class 12, you can find it by clicking this link.

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NCERT Solutions for Maths Class 12 Exercise 8.1

Maths Class 12 Ex 8.1 Question 1.

Find the area of the region bounded by the ellipse 

Solution:

The equation of the ellipse is 
The given ellipse is symmetrical about both the axes as it contains even powers of x and y both.


Maths Class 12 Ex 8.1 Question 2.

Find the area of the region bounded by the ellipse 

Solution:

The equation of the ellipse is 

It is an ellipse with centre (0, 0) and the length of major axis = 2a = 2 × 3 = 6 and the length of minor axis = 2b = 2 × 2 = 4.

Choose the correct answer in the following Exercises 3 and 4.

Maths Class 12 Ex 8.1 Question 3.

Area lying in the first quadrant and bounded by the circle x² + y² = 4 and the lines x = 0 and x = 2 is
(A) π
(B) π/2
(C) π/3
(D) π/4

Solution:

(A) The given curve is x² + y² = 4. It is a circle with the centre at (0, 0) and r = 2.


Maths Class 12 Ex 8.1 Question 4.

Area of the region bounded by the curve y² = 4x, y-axis and the line y = 3 is
(A) 2
(B) 9/4
(C) 9/3
(D) 9/2

Solution:

(B) The given curve is y² = 4x, which is a parabola.


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