DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, then find KH.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 12 cm
  2. 25 cm
  3. 16 cm
  4. 144 cm

Answer (Detailed Solution Below)

Option 1 : 12 cm
ssc-cgl-crash
Free
PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
25 Qs. 50 Marks 20 Mins

Detailed Solution

Download Solution PDF

Given:

DE is the chord of a circle.

KD = 9 cm ; DE = 7 cm

Concept used:

If a tangent and a secant are drawn from a common point outside the circle then,

Tengent2 = line of secant × (line of sacant - chord) 

Calculation:

From tangent and secant relation:

⇒ KH2 = KD × KE

⇒ KH2 = 9 × 16

⇒ KH = √144 = 12 cm

∴ The correct answer is 12 cm. 

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

Hot Links: teen patti master online lotus teen patti teen patti mastar