CBSE Class 12 Maths Application of Integrals Quiz 3

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CBSE › Class 12 › Maths › Application of Integrals

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1. The area bounded by the curve 2x² + y² = 2 is

A π sq. units B √2π sq. units C \(\frac{π}{2}\) sq. units D 2π sq. units

2. The area bounded by the curve x² = 4y + 4 and line 3x + 4y = 0 is

A \(\frac{25}{4}\) sq. units B \(\frac{125}{8}\) sq. units C \(\frac{125}{16}\) sq. units D \(\frac{124}{4}\) sq. units

3. Area of the ellipse \(\frac{x^2}{a^2}\) + \(\frac{y^2}{b^2}\) = 1 is

A 4π ab sq. units B 2π ab sq. units C π ab sq. units. (d) \(\frac{π ab}{2}\) sq. units

4. Area bounded between the parabola y² = 4ax and its latus rectum is

A \(\frac{1}{3}\) a sq. units B \(\frac{1}{3}\) a² sq. units C \(\frac{8}{3}\) a sq. units D \(\frac{8}{3}\) a² sq. units

5. The area bounded by the line y = 2x – 2, y = -x and x-axis is given by

A \(\frac{9}{2}\) sq. units B \(\frac{43}{6}\) sq. units C \(\frac{35}{6}\) sq. units D None pf these

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