Question 29

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

Solution

Secant intersects the circle at 2 points A & B.

PCD secant intersects the circle at 2 points C & D

& if 2 secants are drawn from an external point to a circle , the property is..

PA x PB = PD x PC

=> 10 * 22 = PD * 11

=> 220 = 11 PD

=> PD = 20 cm

C is correct choice.

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Profit, Loss and Interest Questions CAT Probability, Combinatorics Questions CAT Functions, Graphs and Statistics Questions CAT Mensuration Questions CAT Time, Distance and Work Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based LR Questions CAT Data Interpretation Basics Questions CAT Puzzles Questions CAT DI with connected data sets Questions CAT Arrangement Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Miscellaneous Questions CAT Grammar and Sentence Correction Questions CAT Critical Reasoning Questions CAT Odd One Out Questions

Follow us on

Boost your Prep!

Download App