Embibe Experts Solutions for Chapter: Circles, Exercise 1: Bihar Board-2020

Prove that parallelogram circumscribing a circle is a rhombus.

Two concentric circles are of radii $5 cm \& 3 cm$. Find the length of the chord of the larger scale which touches the smaller scale.

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

$PQ$ is a chord of length $8 \mathrm{cm}$ of a circle of radius $5 \mathrm{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$

If two tangents inclined at an angle of $60°$ are drawn to a circle of radius $3 \mathrm{cm}$ then the length of each tangent is 

The largest chord of the circle is 

Prove that the line segment joining the points of contact of two parallel tangents of the circle passes through the centre of the circle.

If the angle between two tangents drawn on a circle with radius $a$ and centre $O$ from an exterior point $P$ is $60°$, find the length of $OP$.