Question : If $x+y+z=0$, then the value of $\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}$ is:
Option 1: 3
Option 2: 1
Option 3: 0
Option 4: 2
Answer (1)
24th Jan, 2024
Correct Answer: 3
Solution :
$\frac{x^2}{y z}+\frac{y^2}{z x}+\frac{z^2}{x y}=\frac{x^3+y^3+z^3}{xyz}$
Use identity: If $a+b+c=0$, then $a^3+b^3+c^3=3abc$.
Given, $x+y+z=0$
So, $\frac{x^2}{y z}+\frac{y^2}{z x}+\frac{z^2}{x y}=\frac{3xyz}{xyz}$
= 3
Hence, the correct answer is 3.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Thank You!
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Application Date:
23 Oct, 2024
- 25 Dec, 2024
Application Date:
9 Dec, 2024
- 30 Dec, 2024
Application Date:
2 Dec, 2024
- 31 Dec, 2024
Exam Date:
3 Jan, 2025
- 16 Jan, 2025
General Insurance Corporation Of India Assistant Manager Exam
- (GIC ASSISTANT MANAGER SCALE I EXAM)
Exam Date:
5 Jan, 2025
- 5 Jan, 2025
