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 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 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

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 tangent at P and Q to the parabola y^(2)=4ax intersect at R then prove that mid point the parabola,where M is the mid point of P and Q.

AB is a chord of the parabola y^(2)=4ax such that the normals at A and B intersect at the point C(9a, 6a). If the area of triangle ABC is 320m^(2) , then a is _________

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