Question
Download Solution PDFTwo circles touch each other at a point O. AB is a simple common tangent to both the circles touching at point A and point B. If radii of the circles are 9 cm and 4 cm, then find AB.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radii of the circles are 9 cm and 4 cm.
Formula Used:
Length of common tangent, AB = \(\sqrt{(r_1 + r_2)^2 - (r_1 - r_2)^2}\)
Calculation:
Let r_1 = 9 cm and r_2 = 4 cm.
AB = \( \sqrt{(9 + 4)^2 - (9 - 4)^2}\)
AB = \(\sqrt{13^2 - 5^2}\)
AB = \(\sqrt{169 - 25}\)
AB = \(\sqrt{144}\)
AB = 12 cm
The length of AB is 12 cm.
Last updated on Jun 26, 2025
-> The Staff selection commission has released the SSC CHSL Notification 2025 on its official website on 23rd June 2025.
-> The SSC CHSL Apply Online 2025 has been started and candidates can apply online on or before 18th July.
-> The SSC has released the SSC CHSL exam calendar for various exams including CHSL 2025 Recruitment. As per the calendar, SSC CHSL Application process will be active from 23rd June 2025 to 18th July 2025.
-> The SSC CHSL is conducted to recruit candidates for various posts such as Postal Assistant, Lower Divisional Clerks, Court Clerk, Sorting Assistants, Data Entry Operators, etc. under the Central Government.
-> The SSC CHSL Selection Process consists of a Computer Based Exam (Tier I & Tier II).
-> To enhance your preparation for the exam, practice important questions from SSC CHSL Previous Year Papers. Also, attempt SSC CHSL Mock Test.
-> The UGC NET Exam Analysis 2025 for the exam conducted on June 25 is out.