SSC CGL 2016 PYQ — Question 82

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q82

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 ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e BP = PC

Application

Figure for the explanation of question 82

Here given that = AB = AC

AQ + BQ = AR + RC

We know that:

BQ = PB and PC = RC

AQ + PB = AR + PC

Also AQ = AR

⇒ AR + PB = AR + PC

⇒ BP = PC