Circles Test - ...

In the below diagram, $$O$$ is the centre of the circle, $$AC$$ is the diameter and if $$\angle APB=120^0$$, then $$\angle BQC$$ is

In the figure $$AD||BC;\ \angle CAB = 45^{\circ} ;\ \angle DBC = 55^{\circ}$$, then $$\angle DCB$$ equals:

Which of the following statement (s) is/ are true?

In the figure $$ \angle ADC={ 130 }^{ o } $$ and chord BC = chord BE. Find $$ \angle CBO $$.

If $$O$$ is the centre of a circle, $$AB$$ its chord, $$C$$ is the mid point of $$AB$$ , then $$OAC$$ is

In the figure, $$\angle B$$ is equal to:

The angle made by the line from the centre with the chord which it bisects is:

The greatest angle of a cyclic quadrilateral $$ABCD$$ in which $$\angle A = (2x-1)^o, \angle B = (y+5)^o, \angle C = (2y+15)^o$$ and $$\angle D = (4x-7)^o$$ is:

Statement 1: In given figure, if C is centre of the circle and $$\angle PQC = 25^{\circ}$$ and $$\angle PRC = 15^{\circ}$$, then $$\angle QCR $$ is $$40^{\circ}.$$

Find the smallest angle of a cyclic quadrilateral $$ABCD$$ in which $$\angle A= (2x-10)^o, \, \, \angle B=(2y-20)^o, \, \, \angle C= (2y+30)^o$$ and $$\angle D=(3x+10)^o.$$