Question

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 $t=\frac{\pi }{4}$ meets the curve against at the point Q then, $|PQ|$ is equal to?

• A. $\frac{5\sqrt{3}}{2}$
• B. $\frac{5\sqrt{5}}{2}$
• C. $\frac{2\sqrt{5}}{3}$
• D. $\frac{3\sqrt{5}}{2}$

Answer 1

The correct option is D $\frac{3\sqrt{5}}{2}$

Hence, option (D) is the correct answer.