Short Quiz

Question 1 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 2 of 5

The area enclosed between the curves \(y=\sin x, y=\cos x, 0 \leq x \leq \pi / 2\) is

A \(\sqrt{2}-1\) B \(\sqrt{2}+1\) C \(2(\sqrt{2}-1)\) D \(2(\sqrt{2}+1)\)

Select one option. Answers are shown after the test.

Question 3 of 5

NCERT Exemplar

The area of the region bounded by the y-axis, \(y=\cos x\) and \(y=\sin x\), \(0\le x\le\dfrac{\pi}{2}\), is

A \(\sqrt2\) sq units B \((\sqrt2+1)\) sq units C \((\sqrt2-1)\) sq units D \((2\sqrt2-1)\) sq units

Select one option. Answers are shown after the test.

Question 4 of 5

NCERT Exemplar

The area of the region bounded by the curve \(y=\sin x\) between the ordinates \(x=0\), \(x=\dfrac{\pi}{2}\) and the x-axis is

A \(2\) sq units B \(4\) sq units C \(3\) sq units D \(1\) sq unit

Select one option. Answers are shown after the test.

Question 5 of 5

NCERT Exemplar

The area of the region bounded by the ellipse \(\dfrac{x^2}{25}+\dfrac{y^2}{16}=1\) is

A \(20\pi\) sq units B \(20\pi^2\) sq units C \(16\pi^2\) sq units D \(25\pi\) sq units

Select one option. Answers are shown after the test.

Class 6