PARABOLA FORMULAS || FORMULAS OF PARABOLA || Y^2 = 4AX FORMULAS

The focus of the parabola y^(2) = - 4ax is :

If AFB is a focal chord of the parabola y^(2) = 4ax such that AF = 4 and FB = 5 then the latus-rectum of the parabola is equal to

If PSQ is a focal chord of the parabola y^(2) = 4ax such that SP = 3 and SQ = 2 , find the latus rectum of the parabola .

If ASC is a focal chord of the parabola y^(2)=4ax and AS=5,SC=9 , then length of latus rectum of the parabola equals

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

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. Equation of the tangent at the point on the parabola P_(1) where the line L meets the parabola is

Through the vertex O of the parabola y^(2) = 4ax , a perpendicular is drawn to any tangent meeting it at P and the parabola at Q. Then OP, 2a and OQ are in

Statement 1: If the endpoints of two normal chords AB and CD (normal at A and C) of a parabola y^(2)=4ax are concyclic,then the tangents at A and C will intersect on the axis of the parabola.Statement 2: If four points on the parabola y^(2)=4ax are concyclic,then the sum of their ordinates is zero.