Question
Download Solution PDFThe centres of two circles of radii 20 cm and 32 cm are 60 cm apart. What is the ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
r1 = 32 cm and r2 = 20 cm and the distance between the centers = D = 60 cm.
Length of direct common tangent = √(602 – (32 – 20)2) = √3456
Length of transverse common tangent = √(602 – (32 + 20)2) = √896
Required Ratio = √3456 : √896
divide the number by √128
⇒ 3√3 : √7
∴ The ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles is 3√3 : √7.
Last updated on May 28, 2025
-> 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 Exam Date for the SSC CHSL 2025 will be from 8th September 2025 to 18th September, 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.