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.
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.
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.
