If `A B` is a focal chord of `x^2-2x+y-2=0` whose focus is `S` and `A S=l_1,` then find `B Sdot`

Consider a parabla y^(2)=8x . If PSQ is a focal chord of the parabola whose vertex is A and focus S,V being the middle point of the chord such that PV^(2)=AV^(2)+lamda.AS^(2) where lamda is______

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

If AB is a focal chord of the parabola y^(2)=4ax whose vertex is 0, then(slope of OA ) x (slope of OB)-

If (2,-8) is at an end of a focal chord of the parabola y^(2)=32x, then find the other end of the chord.

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)

The focal chord of the parabola y^(2)=ax is 2x-y-8=0. Then find the equation of the directrix.

A straight line PQ touches the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and the circle x^(2)+y^(2)=r^(2)(bltrlta) . RS is a focal chord of the ellipse. If RS is parallel to PQ and meets the circle at points R and S. Find the length of RS.

PSQ is a focal chord of the ellipse 4x^(2)+9y^(2)=36 such that SP=4. If S the another focus write the value of SQ.

If the lsope of the focal chord of y^(2)=16x is 2, then the length of the chord, is