For The Above Problem, The Area Of Triangle Formed By Chord Of Contact And The Tangents Is Given By

The length of chord of contact of the tangents drawn from the point (2, 5) to the parabola y² = 8x, is 

The locus of a point whose some of the distance from the origin and the line x = 2 is 4 units, is

The length of the subnormal to the parabola y² = 4ax at any point is equal to

The slope of the normal at the point (at², 2at) of parabola y² = 4ax  is

Equation of locus of a point whose distance from point (a, 0) is equal to its distance from y-axis is

Through the vertex O of parabola y² = 4x, chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

The equation of common tangent to the curves y² = 8x and xy = –1 is

From the point (–1, 2) tangent lines are drawn to the parabola y² = 4x, then the equation of chord of contact is

A point moves on the parabola y² = 4ax. Its distance from the focus is minimum for the following value(s) of x.