TP and TQ are tangents to parabola `y^2=4x` and normals at P and Q intersect at a point R on the curve. The locus of the centre of the circle circumseribing `DeltaTPQ` is a parabola whose

TP&TQ are tangents to the parabola,y^(2)=4ax at P and Q. If the chord passes through the point (-a,b) then the locus of T is

A variable circle is described to pass through the point (1,0) and tangent to the curve y=tan(tan^(-1)x). The locus of the centre of the circle is a parabola whose

TP and TQ are tangents to the parabola y^(2)=4ax at P and Q, respectively.If the chord PQ passes through the fixed point (-a,b), then find the locus of T.

A tangent to the parabola y^2 + 4bx = 0 meets the parabola y^2 = 4ax in P and Q. The locus of the middle points of PQ is:

Tangents PT and QT to the parabola y^2 = 4x intersect at T and the normal drawn at the point P and Q intersect at the point R(9, 6) on the parabola. Find the coordinates of the point T . Show that the equation to the circle circumscribing the quadrilateral PTQR , is (x-2) (x-9) + (y+3) (y-6) = 0 .

A variable circle is described to passes through the point (1, 0) and tangent to the curve y = tan(tan^(-1)x) . The locus of the centre of the circle is a parabola whose