Draw a line segment A B of length 9 cm . Draw two circles of radii 2 . 5 cm and 3 . 5 cm with A and B as centre respectively. Construct a pair of tangents to each circle from the centre of the other circle.

Steps of construction: 1 . Draw a line segment A B of length 9 cm . 2 . With A as centre and radius 3 . 5 cm , draw a circle. 3 . With B as centre and radius 2 . 5 cm , draw a circle. 4 . Draw the perpendicular bisector of A B . Let M be the midpoint of A B . 5 . With M as centre and radius M A , draw a circle such that it intersect the circle with centre A at P , Q and intersect the circle with centre B at R , S . 6 . Join P B , Q B , A R and A S . Therefore, the required figure is shown below:

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

Steps of construction: Draw a line segment AB having a length of 7 cm . Taking A & B as a centre, draw circles of radius 3 cm & 2 cm respectively. Bisect the line AB and mark the intersecting point as O . Taking O as a centre and A O as radius draw a circle. Name the intersection points of the circle as P , Q , R & S . Join the lines A P , A Q , B R , & B S . Hence, A P , A Q , B R , & B S are our required tangents.