For a focal chord PQ of the parabola `y^(2)=4ax` if SP =l and SQ=l then prove
that `(1)/(l)+(1)/(l)+(1)/(a).`

If l " and " l' be the lengths of the segment overline(PS) and overline (P'S) of a focal chord overline(PP') of the parabola y^(2) = 4ax , then show that (1)/(l)+(1)/(l')=(1)/(a) .

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.

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)

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

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

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 L_(1)&L_(2) are the lengths of the segments of any focal chord of the parabola y^(2)=x, then (a) (1)/(L_(1))+(1)/(L_(2))=2( b) (1)/(L_(1))+(1)/(L_(2))=(1)/(2)(c)(1)/(L_(1))+(1)/(L_(2))=4(d)(1)/(L_(1))+(1)/(L_(2))=(1)/(4)

If L_1&L_2 are the lengths of the segments of any focal chord of the parabola y^2=x , then (a) 1/(L_1)+1/(L_2)=2 (b) 1/(L_1)+1/(L_2)=1/2 (c) 1/(L_1)+1/(L_2)=4 (d) 1/(L_1)+1/(L_2)=1/4