Embibe Experts Solutions for Chapter: Constructions, Exercise 1: Exercise

Draw a line segment $AB$ of length $7 \mathrm{cm}$. Taking $A$ as centre, draw a circle of radius $3 \mathrm{cm}$ and taking $B$ as centre, draw another circle of radius $2 \mathrm{cm}$. Construct tangents to each circle from the centre of the other circle. 

Draw a line segment $AB$ of length $9 \mathrm{cm}$. Draw two circles of radii $2.5 \mathrm{cm}$ and $3.5 \mathrm{cm}$ with $A$ and $B$ as centre respectively. Construct a pair of tangents to each circle from the centre of the other circle.

Draw a circle with given line segment $AB$ as diameter. Then construct a tangent to the circle from the given external point $P$.

Draw a circle of radius $3.5 \mathrm{cm}$. Construct a pair of tangents, inclined to each other at an angle of $60°$. Find the distance of the point of intersection of two tangents from the centre of a circle.

Draw a circle of radius $3 \mathrm{cm}$. Construct a pair of tangents from an external point which is at a distance of $5 c\mathrm{m}$. Measure the lengths of the tangents and verify your measure by geometrical measuring. 

Draw a tangent to a circle parallel to a fixed straight line. How many such tangents can be drawn?

Write whether the two straight lines can be parallel or not in the case of 'Two tangents of the circle'.

Construct a right triangle with sides $3 \mathrm{cm}, 4 \mathrm{cm} \mathrm{and} 5 \mathrm{cm}$. And then construct a triangle similar to the right triangle, the scale factor being $\frac{7}{4}$.