Let `P Q` and `R S` be tangent at the extremities of the diameter `P R` of a circle of radius `r`. If `P`S and `R Q` intersect at a point `X` on the circumference of the circle, then prove that `2r=sqrt(P Q xx R S)` .

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

P Q R S is a square. P R and S Q intersect at Odot State the measure of /_P O Qdot

P Q R S is a square. P R and S Q intersect at Odot State the measure of /_P O Qdot

P Q and R S are two parallel chords of a circle and lines R P and S Q intersect each other at O as shown in Figure. Prove that O P=O Qdot

A straight line through the vertex P of a triangle P Q R intersects the side Q R at the points S and the cicumcircle of the triangle P Q R at the point Tdot If S is not the center of the circumcircle, then 1/(P S)+1/(S T) 2/(sqrt(Q SxxS R)) 1/(P S)+1/(S T) 4/(Q R)

In Figure, /_P Q R=\ /_P R Q , then prove that /_P Q S=\ /_P R Tdot

P Q\ a n d\ R S are two parallel chords of a circle and lines R P\ a n d\ S Q intersect each other at O as shown in Figure. Prove that O P=O Q

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

If P Q R S is a square, then write the measure of /_S R P

If P Q R S is a square, then write the measure of /_S R P