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Question

The point on the curve x2+y2=a2,y0 at which the tangent is parallel to x axis


A

a,0

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B

-a,0

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C

a2,3a2

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D

0,a

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E

0,a2

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Solution

The correct option is D

0,a


Explanation of the correct option.

Compute the required point:

Given: x2+y2=a2………………..1

Differentiate with respect to x,

ddxx2+ddxy2=ddxa2

2x+2ydydx=0

Since dydx=0

x=0

Substitute the value of x in equation 1,

y=a

Therefore, the required point is 0,a.

Hence, option d is the correct option.


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