NCERT Solutions
Class 12 - Mathematics Part-2 - Chapter 8: APPLICATION OF INTEGRALSExercise 8.1
Class 12 - Mathematics Part-2 - Chapter 8: APPLICATION OF INTEGRALS
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)
\(\frac{9}{2}\)