NCERT Solutions
Class 12 - Mathematics Part-2 - Chapter 8: APPLICATION OF INTEGRALS
Exercise 8.1

Question. 1

Find the area of the region bounded by the ellipse \(\frac{x^2}{16} + \frac{y^2}{9} = 1\).

Answer:

\(12\pi\)

Question. 2

Find the area of the region bounded by the ellipse \(\frac{x^2}{4} + \frac{y^2}{9} = 1\).

Answer:

\(6\pi\)

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)

\(\pi\)

(B)

\(\frac{\pi}{2}\)

(C)

\(\frac{\pi}{3}\)

(D)

\(\frac{\pi}{4}\)

Question.  4

Area of the region bounded by the curve \(y^2 = 4x\), y-axis and the line \(y = 3\) is

(A)

2

(B)

\(\frac{9}{4}\)

(C)

\(\frac{9}{3}\)

(D)

\(\frac{9}{2}\)

NCERT Solutions Class 12 – Mathematics Part-2 – Chapter 8: APPLICATION OF INTEGRALS – Exercise 8.1 | Detailed Answers