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

How many tangents can be there at a point of circle.

The number of tangents that can be drawn to a circle through a point lying outside the circle is 

In the given figure a quadrilateral $\mathrm{ABCD}$ is drawn to circumscribe a circle. Prove that: $\mathrm{AB}+\mathrm{CD}=\mathrm{AD}+\mathrm{BC}$.

How many tangents are there to a circle, passing through a point lying on the circle?

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

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.