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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
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.
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 “”.
