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A curve is represented by the equations `x=sec^2ta n dy=cott ,` where `t` is a parameter. If the tangent at the point `P` on the curve where `t=pi/4` meets the curve again at the point `Q ,` then `|P Q|` is equal to `(5sqrt(3))/2` (b) `(5sqrt(5))/2` (c) `(2sqrt(5))/3` (d) `(3sqrt(5))/2`

A

`(5sqrt(3))/(2)`

B

`(5sqrt(5))/(2)`

C

`(2sqrt(5))/(3)`

D

`(3sqrt(5))/(2)`

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The correct Answer is:
D
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