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A circle touches the side PQ of a ΔAPQ at the point R and sides AP and AQ produced at the points B and C, respectively. If the perimeter of ΔAPQ = 30 cm, then the length of AB is:

A. 20 cm

B. 10 cm

C. 12 cm

D. 15 cm

Answer: Option D

Solution (By Examveda Team)

Geometry mcq question image
AB & AC ⇒ tangent
AB = AC
ΔAPQ
x + x + a + a = 30
x + a = 15
AB = x + a = 15

This Question Belongs to Arithmetic Ability >> Geometry

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