In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. If CD = 8 cm, PD = 10 cm and PB = 8 cm, find AB. 

F3 Savita SSC 28-12-23 D02

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 14.5 cm
  2. 22.5 cm
  3. 12 cm
  4. 8 cm

Answer (Detailed Solution Below)

Option 1 : 14.5 cm
ssc-cgl-crash
Free
PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
1.9 Lakh Users
25 Questions 50 Marks 20 Mins

Detailed Solution

Download Solution PDF

Concept:

Secant Property

If chord AB and chord CD of a circle intersect at a point P, then

PA × PB = PC × PD

Calculation:

F3 Savita SSC 28-12-23 D02

Let the AB = x

PA × PB = PC × PD

⇒ (8 + x) × 8 = 18 × 10

(8 + x) = 180/8

(8 + x) = 22.5

⇒ x = 22.5 - 8

= 14.5

∴ The answer is 14.5.

Latest SSC CGL Updates

Last updated on Jun 9, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the SSC CGL exam form.

-> Candidates can refer to the SSC CGL syllabus for a better understanding of the exam structure and pattern.

-> The SSC CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

More Circle Questions

Get Free Access Now
Hot Links: teen patti master official teen patti star login teen patti baaz teen patti rich