Question

Draw a line segment AB of length 7cm. taking A as centre, draw a circle of
radius 3cm and taking B as centre draw another circle of radius 2cm.
construct tangents to each circle from the centre of the other circle​

Answer 1

ANSWER

Steps of construction:-

The construction of the given situation is attached alongwith this answer.

⋆StepsOfConstruction⋆

1. Take AB = 7 cm.

2. With A as centre and 3 cm as radius, draw a circle.

3. Similarly, with B as centre and 2 cm as radius, draw a circle.

4. Now, draw the perpendicular bisector of AB and mark the point of intersection O.

5. With O as centre and OA as radius, draw a circle. Mark the 2 points where the circles with centre O and A meet as Q and R. Similarly, mark the points where the circles with centres O and B meet as S and T respectively.

6. Join BR and BQ as well as AS and AT. Now, BR, BQ, AS and AT are the required tangents.