`y ^(2) = 4 ax ` is the standard form of parabola when curve lies on X axis.

Standard form of parabola is x ^(2) = - 4 by, when curve lies in the positive Y axis.

Prove that the chord y-x sqrt(2)+4a sqrt(2)=0 is a normal chord of the parabola y^(2)=4ax . Also find the point on the parabola when the given chord is normal to the parabola.

Find the point P on the parabola y^(2)=4ax such that area bounded by the parabola,the x- axis and the tangent at P equal to that of bourmal by the parabola,the x-axis and the normal at P.

The Locus of the point P when 3 normals drawn from it to parabola y^(2)=4ax are such that two of them makes complementary angles with X axis is

Find the area bounded by the parabola x =4 -y ^(2) and y -axis.

Find the area bounded by the parabola x =4 -y ^(2) and y -axis.

y= -2x+12a is a normal to the parabola y^(2)=4ax at the point whose distance from the directrix of the parabola is

Find the inclination from X - axis of the tangent at point (a, 2a) of the curve y^(2) = 4ax .