Question

Draw a direct common tangent of two
circle where 4 cm and 1.5 cm are their
radii and distance between their centres
is 9cm​

Answer 1

Answer:

To construct : Two direct common tangents.

Steps of construction :

(1) Draw a line segment C1C2 = 8 cm.

(2) Taking C1 as centre and radius 4 cm draw a circle.

(3) Taking C2 as centre and radius 3 cm draw another circle.

(4) Draw perpendicular bisector of C1C2 which intersects C1C2 at M.

(5) Taking M as center and radius MC1 = MC2 draw another circle.

(6) Taking C1 as centre and radius 4 – 3 = 1 cm draw a circle which intersects the circle center M at P and Q.

(7) Join C1P and C1Q and produce to intersect the given circle at A and A’.

(8) From point C2 draw C1P || C2B and C1A’ || C2B’.

(9) Join AB and A’B’ Hence, AB and A’B’ are the required tangents.