1 View

Question : Two concentric circles are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle?

Option 1: 5 cm

Option 2: 8 cm

Option 3: 10 cm

Option 4: 25 cm


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 10 cm


Solution :

OE = 12 cm
OC = OD = 13 cm
We know that the tangent is perpendicular to the radius at its point of contact.
OE $\perp$ CD
Using Pythagoras theorem in $\triangle$ EOC,
CE 2 = OC 2 – OE 2
⇒ CE 2 = 13 2 – 12 2
⇒ CE 2 = 25
⇒ CE = 5 cm
CD = 2CE = 2 × 5 = 10 cm
Hence, the correct answer is 10 cm.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books