Two circle with centres `A` and `B` intersect at `C` and `Ddot` Prove that `/_A C B=/_A D Bdot`

Two circle with centres A and B intersect at C and D. Prove that /_ACB=/_ADB

In Figure, two congruent circles with centres O\ a n d\ O ' intersect at A\ a n d\ Bdot If /_A O^(prime)B=50^0, then find /_A P B

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In a circle with centre O , chords A Ba n dC D intersect inside the circumference at Edot Prove that /_A O C+/_B O D=2/_A E Cdot

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 .

Two circles are drawn with sides A B ,A C of a triangle A B C as diameters. The circles intersect at a point Ddot Prove that D lies on B Cdot

In Figure, A B C\ a n d\ D B C are two triangles on the same base B C such that A B=A C\ a n d\ D B=D Cdot Prove that /_A B D=/_A C D

In Figure, l is a line intersecting the two concentric circles, whose common centre is O , at the points A ,B ,C and D . Show that A B=C Ddot

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

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