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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2021
MathematicsMediumsingle choice

LetA1be the area of the region bounded by the curvesy=sinx,y=cosxandy-axis in the first quadrant. Also, letA2be the area of the region bounded by the curvesy=sinx,y=cosx,x-axis andx=π2in the first quadrant. Then,

Question diagram: Let A 1 be the area of the region bounded by the curves y =

Options:

Answer:
B
Solution:

A1=0π/4cosx-sinxdx

A1=sinx+cosx0π/4=2-1

A2=0π/4sinxdx+π/4π/2cosxdx

=-cosx0π/4+sinxπ/4π/2

A2=1-12+1-12=2-2

A1:A2=1:2, A1+A2=1

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves
2mℹ️ Source: PYQ_2021

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