Question : The radius of a circle is 5 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.
Option 1: $5 \sqrt{5}$ cm
Option 2: $5 \sqrt{2}$ cm
Option 3: $5$ cm
Option 4: $5 \sqrt{3}$ cm
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $5 \sqrt{3}$ cm
Solution :
In $\triangle OAB$,
$AO^2 = AB^2 + OB^2$
⇒ $10^2 = AB^2 + 5^2$
⇒ $100 = AB^2 + 25$
⇒ $75 = AB^2$
⇒ $AB = 5\sqrt3$
Hence, the correct answer is $5\sqrt3$ cm.
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 “”.
