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

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))|

The length of the side of an equilateral triangle inscribed in the parabola,y^(2)=4x so that one of its angular point is at the vertex is:

If the area of the triangle inscribed in the parabola y^(2)=4ax with one vertex at the vertex of the parabola and other two vertices at the extremities of a focal chord is 5a^(2)//2 , then the length of the focal chord is

The area of an equilateral triangle inscribed in the circle x^(2)+y^(2)-2x=0 is

The are of the triangel inscribed in the parabola y^(2)=4x the ordinates of whose vertices are 1, 2 and 4 square units, is

An equilateral triangle is inscribed in the parabola y^(2)=4ax, such that one vertex of this triangle coincides with the vertex of the parabola.Then find the side length of this triangle.

From the point (4, 6) a pair of tangent lines are drawn to the parabola, y^(2) = 8x . The area of the triangle formed by these pair of tangent lines & the chord of contact of the point (4, 6) is