Embibe Experts Solutions for Chapter: Tangents, Exercise 1: Kerala Board-2018

Draw a circle of radius $3 \mathrm{cm}$. Mark a point $7 \mathrm{cm}$ away from its centre. Draw the tangents to the circle from this point.

Circle with centre $O$ touches the sides of the triangle at $P,Q$ and $R$, $AB=AC,AQ=4$ centimetres and $CQ=6$ centimetres. What is the length of $CP$?

Circle with centre $O$ touches the sides of the triangle at $P,Q$ and $R$, $AB=AC,AQ=4$ centimetres and $CQ=6$ centimetres. Find the perimeter and the area of the triangle.

Circle with centre $O$ touches the sides of the triangle at $P,Q$ and $R$, $AB=AC,AQ=4$ centimetres and $CQ=6$ centimetres. What is the radius of the circle?

In the figure, $O$ is the centre of the large circle. Centre of the small circle is $C$. $OP$ is a tangent to the small circle. $\angle \mathrm{BOQ}=50°$.

$\angle \mathrm{OAQ}=$_____$°$

In the figure, $O$ is the centre of the large circle. Centre of the small circle is $C$. $OP$ is a tangent to the small circle. $\angle \mathrm{BOQ}=50°$.

$\angle \mathrm{OCP}=$_____$°$

In the figure, $O$ is the centre of the large circle. The centre of the small circle is $C$. $OP$ is a tangent to the small circle. $\angle \mathrm{BOQ}=50°$.

$\angle \mathrm{APO}=$_____$°$

In the figure, $O$ is the centre of the large circle. Centre of the small circle is $C$. $OP$ is a tangent to the small circle. $\angle \mathrm{BOQ}=50°$.

$\angle \mathrm{POQ}=$_____$°$