Question : Two circles of radius 2.4 cm and 4 cm, respectively, have a common tangent. The distance between the centres of the two circles is 6.5 cm. If the common tangent does not intersect the line joining the centres, then find the length of a common tangent to the circles.
Option 1: 6.0 cm
Option 2: 6.2 cm
Option 3: 6.1 cm
Option 4: 6.3 cm
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 6.3 cm
Solution :
Given: $r{_1}=2.4$ cm, $r{_2}=4$ cm, $d=6.5$ cm
Length of the common tangent
= $\sqrt{d^2-(r{_1}-r{_2})^2}$
= $\sqrt{6.5^2-(2.4-4)^2}$
= $\sqrt{42.25-(1.6)^2}$
= $\sqrt{42.25-2.56}$
= $\sqrt{39.96}$
= $6.3$ cm
Hence, the correct answer is 6.3 cm.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
