If `P` be a point on the parabola `y^2 = 4ax` with focus `F`. Let Q denote the foot of the perpendicular from `P` onto the directrix. Then, `(tan /_PQF)/(tan /_PFQ)` is

P is any point on the parabola, y^2=4ax whose vertex is A. PA is produced to meet the directrix in D & M is the foot of the perpendicular from P on the directrix. The angle subtended by MD at the focus is: (A) pi/4 (B) pi/3 (C) (5pi)/12 (D) pi/2

Pis a point on the parabola y^(2)=4ax(a<0) whose vertex is A.PA is produced to meet the directrix in M is the foot of the perpendicular from P on the directrix.If a circle is described on MD as a diameter then it intersects the X- axis at a point whose co-ordinates are:

If P be a point on the parabola y^(2)=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sires of the parateral triangle SMP(where S is the focus of the parabola),is

P is the point on the parabola y^(2)=4ax(a>0) whose vertex is A .PA produced to meet the directrix in D and M is the foot of perpendicular from P on the directrix. If a circle is described on MD as a diameter, then its intersect x -axis at a point whose coordinates are

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x is:

Let P be a point on the parabola, y^(2)=12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN,parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is (4)/(3), then

Foot of the directrix of the parabola y^(2) = 4ax is the point

Let p be a point on the parabola y^(2)=4ax then the abscissa of p ,the ordinates of p and the latus rectum are in

A point on a parabola y^(2)=4ax, the foot of the perpendicular from it upon the directrix,and the focus are the vertices of an equilateral triangle.The focal distance of the point is equal to (a)/(2) (b) a (c) 2a (d) 4a

T is a point on the tangent to a parabola y^(2) = 4ax at its point P. TL and TN are the perpendiculars on the focal radius SP and the directrix of the parabola respectively. Then