Grade 11Analytical Geometry
tangents drawn to the parabola y^2=8x at the points p(t1) and q(t2) intersect at a point R such that t1 and t2 are the roots of the equation t^2+at+2=0, |a|>2root2.1) Find locus of R2) Find locus of circumcenter of triangle PTQ.3) The point on the curve given by locus in part (2) which is at a maximum distance from line y=x+1