Question : The distance between the centres of two circles with radii of 9 cm and 16 cm is 25 cm. The length of the segment of the tangent between them is:
Option 1: $24\ \text{cm}$
Option 2: $25\ \text{cm}$
Option 3: $\frac{50}{3}\ \text{cm}$
Option 4: $12\ \text{cm}$
New: SSC CHSL tier 1 answer key 2024 out | 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: $24\ \text{cm}$
Solution :
Given: $r_1=16$ cm, $r_2=9$ cm
Distance between two centres = 25 cm
We know, the required length of the tangent = $\sqrt{\text{Distance between two centres}^2-(r_1-r_2)^2}$
= $\sqrt{25^2-(16-9)^2}$
= $\sqrt{625-49}$
= $\sqrt{576}$
= $24$ cm
Hence, the correct answer is $24\ \text{cm}$.
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 “”.
