MathematicsMedium127×since 2002Q3141Let O be the origin and OP and OQ be the tangents to the circle x2+y2−6x+4y+8=0x^2+y^2-6x+4y+8=0x2+y2−6x+4y+8=0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point (α,12)\left( {\alpha ,{1 \over 2}} \right)(α,21), then a value of α\alphaα is :A1B−12-\frac{1}{2}−21C52\frac{5}{2}25D32\frac{3}{2}23Check answerSkip