Consider the curve `C:y^2- 8x-4y +28= 0.` Tangents `TP` and `TQ `are drawn on `C` at `P(5, 6)` and `Q(5,-2).` Also normals at `P` and `Q `meet at `R.`The coordinates of circumcentre of `DeltaPQR,` is

Find the coordinates of the circumcentre of PQR if P(2,7), Q(-5,8) and R(-6,1).

Consider a curve C:y^(2)-8x-2y-15=0 in which two tangents T_(1) and T_(2) are drawn from P(-4,1). Statement 1:T_(1) and T_(2) are mutually perpendicular tangents.Statement 2: Point P lies on the axis of curve C.

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is

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 Delta TPQ is a parabola whose

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q.Find coordinates of Q.

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are