Tangent `P Aa n dP B` are drawn from the point `P` on the directrix of the parabola `(x-2)^2+(y-3)^2=((5x-12 y+3)^2)/(160)` . Find the least radius of the circumcircle of triangle `P A Bdot`

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&B ifR is the radius of circum circle of triangle PAB then [R]-

Tangents P Aa n dP B are drawn to x^2+y^2=a^2 from the point P(x_1, y_1)dot Then find the equation of the circumcircle of triangle P A Bdot

If tangents P Qa n dP R are drawn from a variable point P to thehyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a > b), so that the fourth vertex S of parallelogram P Q S R lies on the circumcircle of triangle P Q R , then the locus of P is x^2+y^2=b^2 (b) x^2+y^2=a^2 x^2+y^2=a^2-b^2 (d) none of these

Find the equation of the tangents from the point (2,-3) to the parabola y^(2)=4x

Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) at the extremities of the chord 2x-3y-18=0 . Find the angle between the tangents.

If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sides of an equilateral triangle SMP(where S is the focus of the parabola), is

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA' as the major axis. Find the maximum area of triangle A P A '

Tangents are drawn from external point P(6,8) to the circle x^2+y^2 =r^2 find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25 (B) 15 (C) 5 (D) none of these

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot