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A curve is represented by the equations `x=sec^2t` abd`y=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

A

`(5sqrt3)/(2)`

B

`(5sqrt5)/2`

C

`(2sqrt5)/(3)`

D

`(3sqrt5)/(2)`

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The correct Answer is:
D
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