Question

Draw a line segment AB of length 9cm. With A and B as centres, draw

circles of radius 5cm and 3cm respectively. Construct tangents to each circle

from the centre of the other circle.​

Answer 1

Step-by-step explanation:

Steps of Construction

Step 1: Draw a line segment AB = 9 cm.

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

Step 3: With centre B and radius 5 cm, draw a circle.

Step 4: Bisect the line AB. Let the mid-point of AB be C.

Step 5: Taking C as centre, draw a circle with AC as radius that intersect the circles at points P, Q, R and S.

Step 6: Join BP, BQ, AS and AR.

Here, BP, BQ, AS and AR are the tangents to each circle from the centre of the other circle.