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.







Justification:


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)


BQ PB


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


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