Circles Test - ...

In the figure, $$O$$ is the centre of the circle. If $$\angle {ADC}={140}^{o}$$, then what is the value of $$x$$? 

The geometric shape that has no corners is _____.

We can draw a circle using given three points if given points are 

The perpendicular distance between the biggest chord and the centre is 

Is it possible to draw a circle with given two points?

If chord $$AOB $$ is diameter of the circle and $$AC = BC$$, then $$\angle$$ $$ACB$$ is equal to:

Two chords $$AB$$ and $$AC$$ of a circle subtends angles equal to $$ { 90 }^{ o } $$ and $$ { 150 }^{ o } $$, respectively at the centre. Find $$ \angle BAC $$, if $$AB$$ and $$AC$$ lie on the opposite sides of the centre.

$$ABCD$$ is a cyclic quadrilateral such that $$ A={ 90 }^{ o }, B={ 70 }^{ o }, C={ 95 }^{ o } $$ and $$D={ 105 }^{ o }.$$

If arcs $$AXB$$ and $$CYD$$ of a circle are congruent, then the ratio of $$AB$$ and $$CD$$ is

$$ABCD$$ is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and if $$ \angle ADC={ 140 }^{ o }$$, then $$\angle BAC$$ is equal to: