Q.

The angle at which the curve y=aeax intersects y -axis is :

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a

 tan1a2

b

cos111+a2

c

sec11+a4

d

cot1a2

answer is C.

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Detailed Solution

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 y=aeax dydx=a2eax The curve meets y−axis when x = 0
y=ae0=a i.e.  at the point (0, a), dydx(0,a)=a2e0=a2

 If θ is the angle at which the given  curve intersects the y-axis then tan(π2θ)=a2θ=cot1a2

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