Tangents are drawn from the point $P(-2,6)$ to the parabola $y^2=8x$ and meet it at A and B. Find locus of centre of circle with AB as diameter

175 Views Asked by At

My problem is that A and B are clearly fixed points, so how can the centre of the circle be a locus of it centre is also fixed? Is there something wrong with the question or am I missing an Important detail?