Question

Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm.

Answer 1

• Draw a line segment of $1.5cm$ distance between centres $r_2-r_1$

$r_2-r_1=4.5-2.5=2.0cm$

• Draw circles of radius $4.5cm$ and $2.5cm$ taking centres $A$ and $B$ respectively
• Take the point of contact of two circles as $P$
• Draw perpendicular at point $P$ taking $AP$ as base.

The perpendicular $X{X}^{\prime }$ is the direct common tangent to two circle.