If `y_(1),y_(2),andy_(3)` are the ordinates of the vertices of a triangle inscribed in the parabola `y_(2)=4ax`, then its area is

If y_(1),y_(2),y_(3) be the ordinates of a vertices of the triangle inscribed in a parabola y^(2)=4ax then show that the area of the triangle is (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))|

If 2,4,8 are the ordinates of the vertices of a triangle inscribed in the parabola y^(2)=8x ,then area of triangle is

The orthocenter of a triangle formed by 3 tangents to a parabola y^(2)=4ax lies on

Find the area of the parabola y^(2)=4ax and the latusrectum.

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^(2)=4ax from a given point is 0.

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

If y_(1),y_(2) are the ordinates of two points P and Q on the parabola and y_(3) is the ordinate of the intersection of tangents at P and Q, then

If (x_(1),y_(1)) & (x_(2),y_(2)) are the extremities of the focal chord of parabola y^(2)=4ax then y_(1)y_(2)=

If (x_(1),y_(1)) and (x_(2),y_(2)) are the end points of focal chord of the parabola y^(2)=4ax then 4x_(1)x_(2)+y_(1)y_(2)

The subtangent,ordinate and subnormal to the parabola y^(2)=4ax are in