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

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

Normal at a point P(a,-2a) intersects the parabola y^(2)=4ax at point Q.If the tangents at P and Q meet at point R if the area of triangle PQR is (4a^(2)(1+m^(2))^(3))/(m^(lambda)). Then find lambda

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

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

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