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 sides of an equilateral triangle SMP(where S is the focus of the parabola), is

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

M is the foot of the perpendicular from a point P on a parabola y^(2)=4ax to its directrix and SPM is an equilateral triangle,where S is the focus.Then find SP.

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

M is the foot of the perpendicular from a point P on the parabola y^(2)=8(x-3) to its directrix and S is an equilateral triangle, the length of side of the triangle 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

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

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

The feet of the perpendicular drawn from focus upon any tangent to the parabola,y=x^(2)-2x-3 lies on

If Q is the foot of the perpendicular from a point P on the parabola y = 8(x-3) to its directrix. S is the focus of the parabola and if SPQ is an equilateral triangle then the length of the side of the triangle is

A point P on the parabola y^(2)=4x , the foot of the perpendicular from it upon the directrix and the focus are the vertices of an equilateral triangle. If the area of the equilateral triangle is beta sq. units, then the value of beta^(2) is