Let `lambda x-y+7=0` is any chord of the parabola `x^2=28y`meeting at A and B and the tangents drawn to the parabola at A,B meet at C , then locus of circumcentre of `DeltaABC` is

Let lambda x-y+7=0 is any chord of the parabola x^(2)=28y meeting at A and B and the tangents drawn to the parabola at A,B meet at C,then locus of circumcentre of Delta ABC is

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

The tangent to the parabola y^(2)=4(x-1) at (5,4) meets the line x+y=3 at the point

Parabola y^(2)=x+1 cuts the Y-axis in A and B. The sum of slopes of tangents to the parabola at A and B is

Let PQ be a focal chord of the parabola y^(2)=4ax The tangents to the parabola at P and Q meet at a point lying on the line y=2x+a,a>0. Length of chord PQ is

The normals at point A and B on y^(2)=4ax meet the parabola at C on the same parabola then the locus of orthocenter of triangle ABC is

Let PQ be a focal chord of the parabola y^(2)=4ax . The tangents to the parabola at P and Q meet at point lying on the line y=2x+a,alt0 . If chord PQ subtends an angle theta at the vertex of y^(2)=4ax , then tantheta=

if a lie x-y=3 intersects the parabola y=(x-2)^(2)-1 at A and B and tangents at A and B meet again at point C.Then coordinates of point C is