Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.
Option 1: 4
Option 2: 8
Option 3: 1
Option 4: 2
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: 2
Solution :
Given:
The sum of squares of two numbers = 12
Product of the numbers = 4
Let the numbers be $a$ and $b$.
⇒ $a^2+b^2=12$ and $ab = 4$
We know, $(a-b)^2=a^2+b^2-2ab$
⇒ $(a-b)^2=12-2\times4$
⇒ $(a-b)^2=12-8$
⇒ $(a-b)^2=4$
⇒ $a-b=\sqrt4=2$
Hence, the correct answer is 2.
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 “”.
