`P Q\ a n d\ R S` are two parallel chords of a circle whose centre is `O` and radius is `10\ c mdot` If `P Q=16\ c m\ a n d\ R S=12\ c m ,` find the distance between `P Q\ a n d\ R S ,` if they lie: on the same side of centre `O`

P Q and R S are two parallel chords of a circle whose centre is O and radius is 10c mdot If P Q=16c m and R S=12c m , find the distance between P Q and R S , if they lie: on the same side of the centre Odot on opposite side of the centre Odot

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

A B\ a n d\ C D are two parallel chords of a circle with centre O such that A B=6\ c m\ a n d\ C D=12\ c mdot The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is (a) 6\ c m (b) 5\ sqrt(2)\ c m (c) 7\ c m (d) 3\ sqrt(5)\ c m

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

If the tangent at a point P to a circle with centre O cuts a line through O at Q such that P Q=24 c m and O Q=25 c m . Find the radius of the circle.

/_P Q R =100^(@) , where P, Q and R are points on a circle with centre O. Find /_O P R

Find the coordinates of points P ,\ Q ,\ R\ a n d\ S in Figure.

In Figure, O is the centre of the circle of radius 5\ c mdotO P_|_A B ,\ O Q_|_C D ,\ A B C D ,\ A B=6\ c m\ a n d\ C D=8\ c mdot Determine P Q

P Q R S is a rectangle inscribed in a quadrant of a circle of radius 13 c mdot A is any point on P Qdot If P S=5c m ,\ then find a r\ (\ R A S)

In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-points of the sides P Q ,\ Q R\ a n d\ R P respectively. Prove that L N=M N .