Let A_1 be the area.. | Area Under Curve

JEE MAIN 2021

26.02.21_S2

Question

Let $A_1$ be the area of the region bounded by the curves $y=\sin x, y=\cos x$ and $y$-axis in the first quadrant. Also, let $A_2$ be the area of the region bounded by the curves $\mathrm{y}=\sin \mathrm{x}, \mathrm{y}=\cos \mathrm{x}, \mathrm{x}$ - axis and $\mathrm{x}=\frac{\pi}{2}$ in the first quadrant. Then,

Select the correct option:

$A_1: A_2=1: \sqrt{2}$ and $A_1+A_2=1$

$A_1+A_2$ and $A_1+A_2=\sqrt{2}$

$2 A_1=A_2$ and $A_1+A_2=1+\sqrt{2}$

$A_1: A_2=1: 2$ and $A_1: A_2=1$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution