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Question

The angle of intersection of the curves y2=2xπ  and  y=sinx is



Your Answer
A

Correct Answer
B

Your Answer
C

Your Answer
D


Solution

The correct option is A


The curves y2=2xπ and y=sin x intersect at (0,0) and (π2,1). Let the gradients of the tangents to the curves be m1 and m2 respectively. Then m1=dydx=1πy  and  m2=dydx=cosx

 


At(π/2,1),m1=1π,
m2=cosπ2=0
Thus tanθ=(1/π)01+(1/π)(0)=1π

 

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