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

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

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.

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

The normal at P cuts the axis of the parabola y^(2)=4ax in G and S is the focus of the parabola.It Delta SPG is equilateral then each side is of length

A point P is inside an equilateral triangle if the distance of P from sides 8,10,12 then the length of the side of the triangle is

The length of the perpendicular from the focus s of the parabola y^(2)=4ax on the tangent at P is

The sum of the perpendiculars drawn from an interior point of an equilateral triangle is 20 cm. What is the length of side of the triangle ?

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

Let Q be the foot of the perpendicular from the origin O to the tangent at a point P(alpha, beta) on the parabola y^(2)=4ax and S be the focus of the parabola , then (OQ)^(2) (SP) is equal to