Question

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

Answer 1

Steps of Construction:
Step 1: Draw a line segment AB = 8 cm.
Step 2: With A as center and radius 4 cm, draw a circle.
Step 3: With B as center and radius 3 cm, draw another circle.
Step 4: Draw the perpendicular bisector XY of AB, cuffing AB at C.
Step 5: With C as center and radius AC (or BC), draw a circle intersecting the circle with
center A at P and P’: and the circle with center B at Q and Q’.
Step 6: Join BP and BP’ Also, join AQ and AQ’.

Here. AQ and AQ’ are the tangents from A to the circle with centre B. Also, BP and BP’ are the tangents from B to the circle with centre A.