Mathematics

Mathematics

Problem

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

y = \sin x

,

y = \cos x

,

x

-axis and

x = \frac{\pi}{2}

in the first quadrant. Then, [JEE MAINS - ONLINE - 2021] (1)

A_1 : A_2 = 1 : \sqrt{2}

and

A_1 + A_2 = 1

(2)

A_1 = A_2

and

A_1 + A_2 = \sqrt{2}

(3)

2A_1 = A_2

and

A_1 + A_2 = 1 + \sqrt{2}

(4)

A_1 : A_2 = 1 : 2

and

A_1 + A_2 = 1

Browse the problem library