R. D. Sharma Solutions for Chapter: Circles, Exercise 7: MULTIPLE CHOICE QUESTIONS (MCQs)

In the given figure, chords $AD$ and $BC$ intersect each other at right angles at a point $P$.  If $\angle DAB=35°$, then $\angle ADC=$

In the figure, $O$ is the centre of the circle and $\angle BDC=42°$.  The measure of $\angle ACB$ is 

In a circle with centre $O, AB$ and $CD$ are two diameters perpendicular to each other. The length of chord $AC$ is

Two equal circles of radius $r$ intersect such that each passes through the centre of the other. The length of the common chord of the circles is

If $AB$ is a chord of a circle, $P$ and $Q$ are the two points on the circle different from $A$ and $B$, then

$AB$ and $CD$ are two parallel chords of a circle with centre $O$ such that $AB=6 \mathrm{cm}$ and $CD=12 \mathrm{cm}$. The chords are on the same side of the centre and the distance between them is $3 \mathrm{cm}$. The radius of the circle is

In a circle of radius $17 \mathrm{cm}$, two parallel chords are drawn on opposite side of a diameter. The distance between the chords is $23 \mathrm{cm}$. If the length of one chord is $16 \mathrm{cm}$, then the length of the other is

In the figure given below, $O$ is the centre of the circle such that $\angle AOC=130°$, then $\angle ABC=$