R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: Exercise 9B

Draw a circle with the help of a bangle. Take any point $P$ outside the circle. Construct the pair of tangents from the point $P$ to the circle.

Draw a line segment $AB$ of length $8 \mathrm{cm}$. Taking $A$ as centre, draw a circle of radius $4 \mathrm{cm}$ and taking $B$ as centre, draw another circle of radius $3 \mathrm{cm}$. Construct tangents to each circle from the centre of the other circle.

Draw a circle of radius $4.2 \mathrm{cm}$. Draw a pair of tangents to this circle inclined to each other at an angle of ${45}^o$.

Write the steps of construction for drawing a pair of tangents to a circle of radius $3 \mathrm{cm}$, which are inclined to each other at an angle of ${60}^o$.

Draw a circle of radius $3 \mathrm{cm}$. Draw a tangent to the circle making an angle of ${30}^o$ with a line passing through the centre.

Construct a tangent to a circle of radius $4 \mathrm{cm}$ from a point on the concentric circle of radius $6 \mathrm{cm}$ and measure its lengths. Also, verify the measurement by actual calculation.

Draw two concentric circles of radii $3 \mathrm{cm}$ and $5 \mathrm{cm}$. Taking a point on the outer circle, construct the pair of tangents to the inner circle. 

Write the steps of construction to construct the tangents to a circle from an external point.