Tangents are drawn to the hyperbola `4x^2-y^2=36` at the points P and Q. If these tangents intersect at the point T(0,3) then the area (in sq units) of `triangle PTQ` is

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

Tangents drawn from the point (-8,0) to the parabola y^2=8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to:

Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is cut by the line 4x+3y-9=0 then the point of intersection of tangents is

Tangents are drawn to the hyperbola x^(2)-y^(2)=3 which are parallel to the line 2x+y+8=0 . Then their points of contact is/are :

Tangents which are parrallel to the line 2x+y+8=0 are drawn to hyperbola x^(2)-y^(2)=3 . The points of contact of these tangents is/are

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangent is drawn at the point (-1,1) on the hyperbola 3x^2-4y^2+1=0 . The area bounded by the tangent and the coordinates axes is

A trapezium is formed by the pair of tangents of parabola P:y=(x^(2))/(4)+1 drawn from the centre of the ellipse E:(x^(2))/(4)+y^(2)=(1)/(4) , tangent at the vertex of P and the tangent at end point of the minor axis of E. The area (in sq. units) of trapezium is