(Q4) 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.

Steps of construction:

  1. Draw a line segment AB of length cm
  2. With A and B as centers and cm, cm as radius draw two circles
  3. Draw the perpendicular bisectors XY of AB. Let XY and AB meet at
  4. Taking M as center and MA or MB as radius draw a circle which cuts the circle with center A at P and Q and circle with center A at R, S.
  5. Join BP,BQ and AR, AS