Home
Class 9
MATHS
In Figure, A B is a diameter of a cir...

In Figure, `A B` is a diameter of a circle `C(O ,\ r)dot` Chord `C D` is equal to radius `O Cdot` If `A C\ a n d\ B D` when produced intersect at `P ,` prove that `/_A P B` is constant.

Promotional Banner

Similar Questions

Explore conceptually related problems

In Figure,AB is a diameter of a circle C(O,r)* Chord CD is equal to radius OC .If AC and BD when produced intersect at P prove that /_APB is constant.

In Figure, O is the centre of a circle and P O BISECTS /_A P D . Prove that A B=C D

In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B O bisects /_A B C .

A B C D is a square. A C\ a n d\ B D intersect at O . State the measure of /_A O B .

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 .

In Figure, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

A B is a diameter of a circle with centre O and radius O D is perpendicular to A B . If C is any point on arc D B , find /_B A D\ a n d\ /_A C D .

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, O is the centre of the circle and the measure of arc A B C is 100^0dot Determine /_A D C\ a n d\ /_A B C

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