A tangent is drawn at any point P(t) on parabola y 2 =8x where P(t) :x-coordinate = 2t 2 , y-coordinate = 4t . On this tangent, a point Q(a,b) is taken, from which pair of tangents QA and QB are drawn to circle x 2 + y 2 = 4. (1) Find equation of locus of point of concurrency of chord of contact AB of the circle. (2) Find equation of locus of circumcentre of triangle AQB if t = 2.



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