If PSQ is focal chord of parabola `y^2 = 4ax (a gt 0)`, where S is focus then prove that `1/(PS)+1/(SQ) =1/a`

If PSQ is focal chord of parabola y^(2)=4ax(a>0), where S is focus then prove that (1)/(PS)+(1)/(SQ)=(1)/(a)

If PSQ is a focal chord of a parabola y^(2)=6x , where S is the focus.Then the minimum value of PS.QS is

If P and Q are the end points of a focal chord of the parabola y^(2)=4ax- far with focus isthen prove that (1)/(|FP|)+(1)/(|FQ|)=(2)/(l), where l is the length of semi-latus rectum of the parabola.

PSQ is a focal chord of the parabola y^(2)=8xIf SP=6, then write SQ.

If the length of a focal chord of the parabola y^(2)=4ax at a distance b from the vertex is c then prove that b^(2)c=4a^(3).

If PQ is a focal chord of the parabola y^(2)=4ax with focus at s, then (2SP.SQ)/(SP+SQ)=

IF P_1P_2 and Q_1Q_2 two focal chords of a parabola y^2=4ax at right angles, then

PSQ is a focal chord of the parabola y^(2)=16x . If P=(1,4) then (SP)/(SQ)=