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P is a variable point on the curve y= f(...

P is a variable point on the curve y= f(x) and A is a fixed point in the plane not lying on the curve. If `PA^(2)` is minimum, then the angle between PA and the tangent at P is

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

None of these

Text Solution

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The correct Answer is:
C
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