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

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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 = 2*a* = 2 × 3 = 6 and the length of minor axis = 2*b* = 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 *x*²
+ *y*² = 4 and the lines *x* = 0 and *x* = 2 is

(A) Ï€

(B) Ï€/2

(C) Ï€/3

(D) Ï€/4

**Solution:**

(A) The given
curve is *x*² + *y*² = 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 *y*² = 4*x*, *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 *y*² = 4*x*, which is a parabola.