Draw a circle with centre `O` and any radius. Draw `A C\ a n d\ B D` two perpendicular diameters of the circle. Join `A B ,\ B C ,\ C D\ a n d\ D A` .

Draw a circle with centre O and any radius. Draw AC and BD two perpendicular diameters of the circle.Join AB,BC, of the circle.Join

A B\ a n d\ C D are diameters of a circle with centre Odot If /_O B D=50^0, find /_A O C

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 a circle with centre O , chords A B\ a n d\ C D intersect inside the circumference at E . Prove that /_A O C+\ /_B O D=2\ /_A E C

In the figure, two circles intersect at A and B . A C and A D are respectively the diameters of the circles. Prove that C , B , D are collinear.

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

In a circle with centre O ,\ A B\ a n d\ C D are two diameters perpendicular to each other. The length of chord A C is (a) 2A B (b) sqrt(2)AB (c) 1/2A B (d) 1/(sqrt(2))\ A B

Two concentric circle with centre O have A ,\ B ,\ C ,\ D as the points of intersection with the line l as shown in Figure. If A D=12 c m\ a n d\ B C=8c m , find the lengths of A B ,\ C D ,\ A C\ a n d\ B D .

In Figure, B M\ a n d\ D N are both perpendiculars to the segments A C\ a n d\ B M=D N . Prove that A C\ bisects B 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