`A B` and `C D` are two parallel chords of a circle whose diameter is `A C` . Prove that `A B=C Ddot`

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

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

A B and C D are two parallel chords of a circle such that A B=10c m and C D=24c mdot If the chords are on the opposite sides of the centre and the distance between them is 17c m , find the radius of the circle.

In Figure, A B\ a n d\ A C are two equal chords of a circle whose centre is O . If O D\ _|_A B\ a n d\ O E\ _|_A C , prove that /_\A D E is an isosceles triangle.

In Figure, A B\ a n d\ C D are two chords of a circle, intersecting each other at P such that A P=C P . Show that A B=C D .

A C and B D are chords of a circle that bisect each other. Prove that: (i) A C and B D are diameters (ii) ABCD is a rectangle.

A C\ a n d\ B D are chords of a circle which bisect each other. Prove that (i) A C\ a n d\ B D are diameters (ii) A B C D is a rectangle

In Figure, O A and O B ar respectively perpendiculars to chords C D and E F of a circle whose centre is Odot If O A=O B , prove that C E=D Fdot

In a rectangle A B C D , prove that A C B~= C A Ddot