Question

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

Answer 1

Step 1: Draw the circle

Draw a line segment $\mathrm{AB}$ of length $8cm$.Taking $\mathrm{A}$ as centre and radius $4cm$

Now taking $\mathrm{B}$ as centre and radius $3cm$, draw circles.

Step 2: Draw the required tangents

Now taking $\mathrm{AB}$ as diameter, draw the third circle which intersects the given two circles at points $\mathrm{C},\mathrm{D},\mathrm{P}\mathrm{and}\mathrm{Q}$ respectively. Now join $\mathrm{AC},\mathrm{AD},\mathrm{BP}\mathrm{and}\mathrm{BQ}$

Therefore, $\mathrm{AC},\mathrm{AD},\mathrm{BP}\mathrm{and}\mathrm{BQ}$ are the required tangents.