JEE Math Practice Question
Let O be the origin and OP and OQ be the tangents to the circle $$x^2+y^2-6x+4y+8=0$$ at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point $$\left( {\alpha ,{1 \over 2}} \right)$$, then a value of $$\alpha$$ is :
- A.1
- B.$$-\frac{1}{2}$$
- C.$$\frac{5}{2}$$
- D.$$\frac{3}{2}$$
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