A tangent is drawn at any point `P (t)` on the parabola `y^2 = 8x` and on it is taken a point `Q (alpha, beta)` from which pair of tangent QA and QB are drawn to the circle `x^2+ y^2= 4`. The locus of the point of concurrency of the chord of contact AB of the circle `x^2+y^2=4` is

A tangent is drawn at any point P(t) on the parabola y^(2)=8x and on it is takes a point Q(alpha,beta) from which a pair of tangent QA and OB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The locus of the point of concurrecy of the chord of contact AB of the circle x^(2)+y^(2)=8 is

A tangent is drawn at any point P(t) on the parabola y^(2)=8x and on it is takes a point Q(alpha,beta) from which a pair of tangent QA and QB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The point from which perpendicular tangents can be drawn both the given circle and the parabola is

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact is

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

A point on the line x=3 from which the tangents drawn to the circle x^2+y^2=8 are at right angles is

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is