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Aptitude · Q163

Geometry

Competitive Exams · Aptitude · question 163

Q163

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?

A.
BP = PC
Answer
B.
BP > PC
C.
BP < PC
D.
BP = PC

Answer: Option A

Solution

Answer: Option A
Solution:
Geometry mcq question image
Here given that = AB = AC
AQ + BQ = AR + RC
We know that
BQ = PB & PC = RC
AQ + PB = AR + PC
Also AQ = AR
AR + PB = AR + PC
PB = PC