Q. 24

Draw a line segme

Answer :

Step1: Draw a line PQ = 9 cm. taking P and Q as centres draw

circles of radii 5 cm and 3 cm.

Step2: Now bisect PQ. We get midpoint to be T.

Now take T as a center , draw a circle of PT radius , this will intersect

the circle at points A, B, C, D. Join PB, PD, AQ, QC.


It can be justified by proof that PB, PD are tangents of circle (whose centre is P and radius is 5 cm) and AQ, QC are tangents of circle (whose centre is Q and radius is 3 cm)

Join PA, PC, QB, QD

PBQ=90° (Angle is on semicircle)


Since, BQ is radius of circle, PB has to be a tangent. Similarly, PD, QA, QC are tangents.

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