A straight line is drawn parallel to the x-axis to bisect an ordinate PN of the parabola `y^(2) = 4ax` and to meet the curve at Q. Moreever , NQ meets the tangent at the vertex A of the parabola at T. `AT= Knp` , then k is equal to

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^(2)=4ax meets the curve again at O. The least distance of Q from the axis of the parabola,is

If the tangent at P on y^(2)=4ax meets the tangent at the vertex in Q and S is the focus of the parabola,then /_SQP is equal to

A line bisecting the ordinate PN of a point P(at^2,2at),t gt 0 , on the parabola y^2=4ax is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are:

Find the equations of the tangents to the parabola y^(2)+4=4x which are equally inclined to co-ordinate axis and also find tangent at the vertex of the parabola.

Find the equations of the tangents to the parabola y^(2)+4=4x which are equally inclined to co-ordinate axis and also find tangent at the vertex of the parabola.

Foot of perpendicular from point P on the parabola y^(2)=4ax to the axis is N. A straight line is drawn parallel to the axis which bisects PN and cuts the curve at Q. If NQ meets the tangent at the vertex A at a point T, then (PN)/(AT) =__________.

Foot of perpendicular from point P on the parabola y^(2)=4ax to the axis is N. A straight line is drawn parallel to the axis which bisects PN and cuts the curve at Q. If NQ meets the tangent at the vertex A at a point T, then (PN)/(AT) =__________.

Foot of perpendicular from point P on the parabola y^(2)=4ax to the axis is N. A straight line is drawn parallel to the axis which bisects PN and cuts the curve at Q. If NQ meets the tangent at the vertex A at a point T, then (PN)/(AT) =__________.