Question : The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Option 1: 60
Option 2: 54
Option 3: 48
Option 4: 72
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 60
Solution :
The length of the direct common tangent between two circles,
$=\sqrt{d^2 - (r_1 - r_2)^2}$, where $r_1,r_2$ are the radii of the circles and $d$ is the distance between their centres.
Given that $d$ = 61 cm, $r_1$ = 35 cm, and $r_2$ = 24 cm
$=\sqrt{(61)^2 - (35 - 24)^2} = \sqrt{3721 - 121} = \sqrt{3600}=60$ cm
Hence, the correct answer is 60.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
