Parabola and Its Elements

Ellipse and its Elements

If the normal chord of the parabola y^(2)=4 x makes an angle 45^(@) with the axis of the parabola, then its length, is

Area between parabola and line || Area between parabola and its double ordinate || Illustration on various concepts & Important points

Prove that the line joining the orthocentre to the centroid of a triangle formed by the focal chord of a parabola and tangents drawn at its extremities is parallel to the axis of the parabola.

The equation of the circle drawn with the focus of the parabola (x-1)^(2)-8y=0 as its centre touching the parabola at its vertex is:

The equation of the circle drawn with the focus of the parabola (x – 1)^(2) - 8y = 0 as its centre and touching the parabola at its vertex is

An equilateral triangle is inscribed in the parabola y^(2)=4ax whose vertex is at of the parabola.Find the length of its side.

Business Ethics And Its Elements

Let a circle touches to the directrix of a parabola y ^(2) = 2ax has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

If an equilateral triangle is inscribed in a parabola y^(2)=12x with one of the vertices being at the vertex of the parabola then its height