# JEE Coordinate (7)!

Geometry Level 5

A line passes through the point $$P=(2,3)$$ and makes an angle $$\theta$$ $$(0 \le \theta < \pi)$$ with positive direction of $$x$$-axis. If it meets the lines represented by $$x^2-2xy-y^2 = 0$$ at points $$Q$$ and $$R$$, and $$PQ \cdot PR =17$$, then find the number of possible values of $$\theta$$.



This is a part of my set Practice for JEE 2017.

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