Normals of parabola `y^(2)=4x` at P and Q meets at `R(x_(2),0)` and tangents at P and Q meets at `T(x_(1),0)`. If `x_(2)=3`, then find the area of quadrilateral PTQR.

The normal to the parabola y^(2)=4x at P(9, 6) meets the parabola again at Q. If the tangent at Q meets the directrix at R, then the slope of another tangent drawn from point R to this parabola is

Abscissa of two points P and Q on parabola y^(2)=8x are roots of equation x^(2)-17x+11=0 . Let Tangents at P and Q meet at point T, then distance of T from the focus of parabola is :

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF1NF2 is

Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(-4,0) , The area of the quadrilateral PAOB , where O is the origin, is

The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at A and B meet at C. If D CD is normal at D, then the co-ordinates of D are