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A curve is represented by the equations ...

A curve is represented by the equations `x = sec^(2) t and y = cot t`, 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 |PQ| is equal to

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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