If L is The Chord Of Contact Of The Hyperbola H, Then The Equation Of The Corresponding Pair Of Tangents Is

The length of normal chord which subtends an angle of 90⁰ at the vertex of the parabola y² = 4x is

A focal chord of parabola y² = 4x is inclined at an angle of  with the +ive direction of x-axis, then the slope of normal drawn at the ends of focal chord will satisfy the equation

If two different tangents of y² = 4x are the normal’s to the parabola x² = 4ay, then

Find the locus of the mid-points of the chord of the parabola y² = 4ax which subtend a right angle at the vertex.

If the parabola C and D intersect at a point A on the line L₁, then equation of the tangent point L at A to the parabola D is

If a > 0, the angle subtended by the chord AB at the vertex of the parabola C is

P is a point on the circle C, the perpendicular PQ to the major axis of the ellipse E meets the ellipse at M, then  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 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