Two lines are drawn from point `P(alpha, beta)` which touches `y^2 = 8x` at A,B and touches `x^2/4 + y^2/6 = 1` at C,D, then-

Ifchord ofcontact ofthe tangents drawn from the point (alpha,beta) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 touches the circle x^(2)+y^(2)=c^(2), then the locus of the point

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If line T_1 touches the curve 8y=(x-2)^2 at (-6,8) and line T_2 touches the curve y=x+3/x at (1,4), then

If line T_1 touches the curve 8y=(x-2)^2 at (-6,8) and line T_2 touches the curve y=x+3/x at (1,4), then

Two straight lines are perpendicular to each other. One of them touches the parabola y^(2) =4a ( x+a) , and the other touches y^(2) =4b (x+ b) . Then locus of point of intersection of two lines is

The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

If line x cos alpha + y sin alpha = p " touches circle " x^(2) + y^(2) =2ax then p =

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4y - 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is: