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Tangent and normal at any point P of the...

Tangent and normal at any point P of the parabola `y^(2)=4ax(a gt 0)` meet the x-axis at T and N respectively. If the lengths of sub-tangent and sub-normal at this point are equal, then the area of `DeltaPTN` is given by

A

vertex is `((2a)/(3),0)`

B

directrix is x = 0

C

latus rectum is `(2a)/(3)`

D

focus is (a, 0)

Text Solution

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The correct Answer is:
A
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