Class 12

Math

Co-ordinate Geometry

Parabola

A tangent is drawn at any point P(t) on the parabola $y_{2}=8x$ and on it is takes a point $Q(α,β)$ from which a pair of tangent QA and OB are drawn to the circle $x_{2}+y_{2}=8$. Using this information, answer the following questions :

The locus of circumcenter of $ΔAQB$ id t=2 is