Embibe Experts Solutions for Chapter: Circles, Exercise 1: Madhya Pradesh Board-2018

The sum of pairs of opposite angles of a cyclic quadrilateral is

The line joining the centre of a circle to the mid point of a chord is perpendicular to the chord.

If two chords of a circle are equidistant from the centre of the circle then they are _____ to each other.

Prove that, the length of two tangents drawn from an external point to a circle are equal.

Prove that, the angles in the same segment of a circle are equal to each other.

Prove that, the angle in the semicircle is right angle.

A tangent $\mathrm{PQ}$ at a point $\mathrm{P}$ of a circle of radius $5$ cm meets a line through the centre $\mathrm{O}$ at a point $\mathrm{Q}$ so that $\mathrm{OQ}=12$ cm. Find the length of $\mathrm{PQ}$.

The lengths of tangents drawn from an external point to a circle are equal.