Short Quiz - Chapter 8 Class 12 Application of Integrals

Question 1 of 5

The area of the region bounded by the curve \(y=\sqrt{16-x^2}\) and \(x\)-axis is

A \(8 \pi\) sq.units B \(20 \pi\) sq. units C \(16 \pi\) sq. units D None of these

Select one option. Answers are shown after the test.

Question 2 of 5

What is the area of the parabola \(x^2=y\) bounded by the line \(y=1\) ?

A \(\frac{1}{3}\) square unit B \(\frac{2}{3}\) square unit C \(\frac{4}{3}\) square units D 2 square units

Select one option. Answers are shown after the test.

Question 3 of 5

CBSE Board Exam 2026

The area of the shaded region of the circle given below is equal to :

A \(\int_{1}^{3} \sqrt{9-y^{2}} d y\)\\ B \(2 \int_{1}^{3} \sqrt{9-y^{2}} d y\)\\ C \(\int_{0}^{3} \sqrt{9-\mathrm{x}^{2}} \mathrm{dx}\) D \(2 \int_{0}^{3} \sqrt{9-\mathrm{x}^{2}} \mathrm{dx}\)

Select one option. Answers are shown after the test.

Question 4 of 5

The area bounded by the parabola \(x=4-y^2\) and \(y\)-axis, in square units, is

A \(\frac{16}{3}\) sq. unit B \(\frac{32}{3}\) sq. unit C \(\frac{64}{3}\) sq. unit D None of these

Select one option. Answers are shown after the test.

Question 5 of 5

CBSE Board Exam 2025

The area of the shaded region (figure) represented by the curves \(\mathrm{y}=x^2, 0 \leq x \leq 2\) and y -axis is given by

A \(\int_0^2 x^2 \mathrm{~d} x\) B \(\int_0^2 \sqrt{\mathrm{y}} \mathrm{dy}\) C \(\int_0^4 x^2 \mathrm{~d} x\) D \(\int_0^4 \sqrt{\mathrm{y}} \mathrm{dy}\)

Select one option. Answers are shown after the test.

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Short Quiz - Chapter 8 Class 12 Application of Integrals