If x + Y = K is A Normal To The Parabola y2 = 12x, p is The Length Of The Perpendicular From The Focus Of The Parabola On This Normal; Then 3k2 + 2p2 is Equal To

Equation of the diameter of the ellipse E conjugate to the diameter respected by L is 

If R is the point of intersection of the line L with the line x = 1, then 

If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangents is

If R is the point of intersection of the tangents to H at the extremities  of the chord L, then equation of the chord contact of R with respect to the parabola P is

If the chord of contact of R with respect to the parabola Pmeets the parabola at T and T’, S is the focus of the parabola, then Area of the triangle STT’ is equal to

Tangent are drawn from any point on the hyperbola  to the circle x² + y² = 9. If the locus of the mid-point of the chord of contact is

If l is the length of the intercept made by a common tangent to the circle x² + y² = 16 and the ellipse , on the coordinate axes, then 81l²+ 3 is equal to

If d is the length of the tangent from the point (100, 81) to the ellipse , then d2 is equal to

The point of intersection of the perpendicular tangents to the ellipse  lies on a circle square of whose radius is

If CF is perpendicular from the center C of the ellipse  on the tangent at any point P, and G is the point where the normal at P meets the minor axis, then (CF. PG)² is equal to