Find the points of the parabola `y^(2) = 4ax` at which (i) the tangent, and (ii) the normal is inclined at `30^(@)` to the axis.

The point on the parabola y^(2) = 8x at which the normal is inclined at 60^(@) to the x-axis has the co-ordinates as

Equation of tangent to parabola y^(2)=4ax

Find the equation of normal to the parabola y^(2)=4ax at point (at^(2),2at)

The set of points on the axis of the parabola y^(2)=4ax, from which three distinct normals can be drawn to theparabola y^(2)=4ax, is

The tangent and normal at P(t), for all real positive t, to the parabola y^(2)=4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, Tand G is

Find the locus of midpoint normal chord of the parabola y^(2)=4ax

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 normals to the parabola y^(2)=4ax from the point (5a,2a) is/are

Find the locus of mid-point of chord of parabola y^(2)=4ax which touches the parabola x^(2)=4by

Consider the parabola y^(2)=8x ,then the distance between the tangent to the parabola and a parallel normal inclined at 30^(@) with the positive x -axis,is D then [D] is Where [.] represent (greatest integercfunction)