Circles Test - ...

Four alternative answers for the following question is given. Choose the correct alternative.
In a cyclic quadrilateral $$ \,ABCD$$, twice the measure of $$\angle A$$ is thrice the measure of $$\angle C$$. Find the measure of $$\angle C$$?

If the length of the chord increase its perpendicular distance from the centre

In the figure, if $$A, B, C$$ and $$D$$ are vertices of cyclic quadrilateral, then $$\angle x$$ will be:

Side $$AB$$ of a quadrilateral is a diameter of its circumcircle and $$\angle ADC = 140^{0}$$, then $$\angle BAC$$ equals:

Chords equidistant to each other from center of circle are

In fig, $$ABCD$$ is a cyclic quadrilateral. if $$\angle D = 120^{0}$$, then $$\angle CBE$$ will be :

Sum of opposite angles in a cyclic quadrilateral is:

If in the given figure, $$\Delta ABC$$ is an equilateral triangle, then $$\angle BCD$$ will be:

In the given figure, $$ABCD$$ is a cyclic quadrilateral whose diagonals intersect each other at $$O$$. If $$\angle ACB = 50^{0}$$ and $$\angle ABC = 110^{0}$$, then $$\angle BDC$$ will be :

In figure, $$D$$ is cyclic quadrilateral in which $$AC$$ and $$BD$$ are diagonals. If $$\angle DBC = 55^{0}$$ and $$\angle BAC = 45^{0}$$, then $$\angle BCD$$ will be :