Question

Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking 8 as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.Steps

Answer 1

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

$\bf{ \underline{ \star \:Steps \: Of \: Construction \star}}$

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.

Answer 2

Answer:

Step-by-step explanation:

Steps of construction :

1. Draw a line segment AB of 7 cm.

2. Taking A and B as centre draw two circle of 3 cm and 2 cm radius respectively.

3. Bisect the line AB. Let mid - point of AB be C.

4. Taking C as centre draw a circle of radius AC which intersects the two circles at point P,Q,R and S.

5. Join BP, BQ, AS and AR.

BP,BQ and AR, AS are the required tangents.