The tangent at P(`at^2, 2at`) to the parabola `y^(2)=4ax` intersects X axis at A and the normal at P meets it at B then area of triangle PAB is

The tangent at P(at^(2), 2at) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB( in sq . units) is

The tangent at any point P onthe parabola y^(2)=4ax intersects the y-axis at Q. Then tangent to the circumcircle of triangle PQS(S is the focus) at Q is a line parallel to x-axis y-axis a line parallel to y-axis (d) none of these

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

Let the tangent to the parabola S : y^(2) = 2x at the point P(2,-2) meet the x-axis at Q and normal at it meet the parabola S at the point R. Then the area (in sq. units) of the triangle PQR is equal to :

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.

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is