If `P and Q` a be a pair of conjugate points with respect to a circle `S`. Prove that the circle on `PQ` as diameter cuts the circle `S` orthogonally.

If P and Q are conjugate points w.r.t a circle S=x^2+y^2+2gx+2fy+c=0 , then prove that the circle PQ as diameter cuts the circles S=0 orthogonallly.

If the chord of contact of tangents from a point P to a given circle passes through Q, then the circle on PQ as diameter.cuts the given circle orthogonally touches the given circle externally touches the given circle none of these

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter. cuts the given circle orthogonally touches the given circle externally touches the given circle internally none of these

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter. (a)cuts the given circle orthogonally (b)touches the given circle externally (c)touches the given circle internally (d)none of these

Perpendiculars are drawn,respectively,from the points P and Q to the chords of contact of the points Q and P with respect to a circle. Prove that the ratio of the length of perpendiculars is equal to the ratio of the distances of the points P and Q from the center of the circles.

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter.