To draw a pair of tangents to a circle which are inclined to each other at an angle of $60^{\circ},$ it is required to draw tangents at the endpoints of those two radii of the circle,the angle between which should be: (in $^{\circ}$)

Draw a line segment $\overline{AB}$ of length $8\, cm$ and divide it in the ratio $2:3:5$ starting from point $A$. Write the steps of construction.

$A$ circle $\odot(P, 5 \, cm)$ is given. Construct two tangents to the circle such that the measure of the angle between them is $60^\circ$. Write the steps of construction.

Write True or False and give reasons for your answer.
$A$ pair of tangents can be constructed from a point $P$ to a circle of radius $3.5 \, cm$ situated at a distance of $3 \, cm$ from the centre.

Draw $\overline{AB}$ of length $10 \,cm$ and divide it in the ratio $3:8$ from $A$. Write the steps of construction.

Draw $\Delta ABC$ with $AB = 6 \, cm$,$BC = 8 \, cm$,and $m\angle B = 60^\circ$. Then,construct $\Delta BXY$ similar to $\Delta ABC$ whose sides have lengths $\frac{4}{5}$ times the lengths of the corresponding sides of $\Delta ABC$. Write the steps of construction.