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ABC is an isosceles triangle where AB = AC which is...

This question belongs to Arithmetic Ability Geometry
Geometry
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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?

Answer & Solution
Correct Answer: Option A
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
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