Circles Test - ...

In the given figure, $$AB$$ is the diameter of a circle with $$O$$ and $$AT$$ is a tangent. If $$\angle AOQ = 58^{\circ}$$, then the value of $$\angle ATQ$$ is _________.

Identify the center of the circle.

Given circle with center $$C$$ shows an inscribed quadrilateral. Find $$y$$.

Two concentric circles intersect at _____ number of points.

In the given figure, $$O$$ is the centre of the circle. Find the value of $$\angle BDC$$. 

In the given circle ABCD, O is the centre and $$\angle BDC$$ = $$42^0$$, The $$\angle ACB$$ is equal to

In the given figure, chord $$BE=BD$$, $$\angle CBD=33^{o}$$ and $$OB \bot AC$$, then $$x+y-z$$ is equal to:

In the above figure, $$\overline {AB}$$ and $$\overline {AC}$$ are equal chords and $$O$$ is the centre. If $$\angle BOC=100^{o}$$, then find $$\angle ACO$$.

In figure, the value of $$x$$ is

In figure $$A,B$$ and $$C$$ are three points on a circle with centre $$O$$ such that $$\angle{BOC}={30}^{o}$$ and $$\angle {AOB}={60}^{o}$$. If $$D$$ is a point on the circle other than the arc $$ABC$$, find $$\angle {ADC}$$.