SarkariPYQ

SSC CHSL 2021 PYQ — Question 70

SSC CHSL - 13 April 2021 - Shift 3 • Quantitative Aptitude • Q70

Back to paper

P, Q and R are three points on the circumference of a circle such that QR is a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 7 2\sqrt{2} cm.

In the diagram, QR is the diameter

∠QPR = 90° ( angle in a semicircle opposite to diameter is always 90°)

 ∆PQR is a right angle triangle

Since the triangle is also an isosceles as PQ = PR

So,

PQ = QR/√2    (The smaller side is (1/√2) of the hypotenuse in an isosceles right triangle )

⇒ PQ = 14/√2

⇒ PQ = 7√2