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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 |PQl is equal to
A. |
`(5sqrt3)/2` |
B. |
`(5sqrt5)/2` |
C. |
`(2sqrt5)/3` |
D. |
`(3sqrt5)/2` |
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