M L Aggarwal Solutions for Exercise 1: Exercise 16.1

Use ruler and compass only for answering the question.

Draw a circle of radius $4 \mathrm{cm}$. Mark the centre as $\mathrm{O}$. Mark a point $\mathrm{P}$ outside the circle at a distance of $7 \mathrm{cm}$ from the centre. Construct two tangents to the circle from the external point $\mathrm{P}$.

Measure and write down the length of any one tangent.

Draw a line Construct a circle with $\mathrm{AB}=6 \mathrm{cm}.$Construct a circle with $\mathrm{AB}$ as diameter. he mid-point of $\mathrm{AB}$. Mark the point at a distance of $5 \mathrm{cm}$ from the mid-point of $\mathrm{AB}$.  Construct two tangents from $\mathrm{P}$to the circle with $\mathrm{AB}$as diameter. Measure the length of each tangent .

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 length. Also verify the measurement by actual calculation.

Draw a circle of radius $3 \mathrm{cm}$. Take two points $P$ and $Q$ on one of its extended diameter each at a distance of $7 \mathrm{cm}$ from its centre. Draw tangents to the circle from these two points $P$ and $Q.$