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 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

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.

P, Q are the points on the circle. The part of the circle, PQ is called ________ of the circle.

The radical center of three given circles will be the center of a fourth circle which cuts all the three circles orthogonally.

Point O is the centre of a circle . Line a and line b are parallel tangents to the circle at P and Q. Prove that segment PQ is a diameter of the circle.

The radius of the least circle passing through the point (8,4) and cutting the circle x^(2)+y^(2)=40 orthogonally is

Find the equation of the circle when the end points of a diameter of the circle are : (p, q) and (r, s)

P, Q, R and S are the points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of circle. What is the perimeter of the quadrilateral PQSR?

P,Q,S and R are points on the circumference of a circle of radius r ,such that POR is an equilateral triangle and PS is a diameter of the circle.What is the perimeter of the quadrilateral PQSR?