Question

a) Draw two circles of radius 4.5 cm and 3.5 cm with
centres A and B respectively and AB = 8 cm. Draw
a transverse common tangent of the circles. (Only
traces of construction are required).​

Answer 1

PQ=√d2-(r1-r2)

PQ= √8^2-2^2

PQ=7.75cm

Draw a line segment AB=15cm. Draw circle C1 with radius 4cm and centre as A. Draw circle C2 with radius 2cm and centre B

Draw circle C3 with radius (R1-R2=4−2=2cm and centre A. B is the external point to circle C3. Draw perpendicular bisector of AB and mark its midpoint M

With M as centre and AM as radius construct a circle C4

C4 cuts C3 at two points E and F. Join AE and AF

Extend AE to meet C1 at P and AF to meet C1 at R

Draw BQ∥AP and BS∥AR

Join PQ and RS. PQ and RS are required direct tangents.

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