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Area Under the Curves question

2021 · 26 Feb · Shift 2 · Q34

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JEE Main
Mathematics
Area Under the Curves
2021 · 26 Feb · Shift 2 · Q34

Area Under the Curves question

2021 · 26 Feb · Shift 2 · Q34

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x =

{\pi \over 2}

in the first quadrant. Then,

A
${A_1}:{A_2} = 1:\sqrt 2$ and ${A_1} + {A_2} = 1$
B
${A_1} = {A_2}$ and ${A_1} + {A_2} = \sqrt 2$
C
$2{A_1} = {A_2}$ and ${A_1} + {A_2} = 1 + \sqrt 2$
D
${A_1}:{A_2} = 1:2$ and ${A_1} + {A_2} = 1$

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