Question : If $a, b, c$ are all non-zero and $a+b+c=0$, then find the value of $\frac{a^2}{b c}+\frac{b^2}{c a}+\frac{c^2}{ab}$.
Option 1: $3$
Option 2: $4$
Option 3: $1$
Option 4: $\frac{1}{2}$
Answer (1)
23rd Jan, 2024
Correct Answer: $3$
Solution :
Given: $a+b+c=0$
According to the question,
$a^3+b^3+c^3=3abc$
Dividing both sides by $abc$, we get
$\frac{a^3}{abc}+\frac{b^3}{abc}+\frac{c^3}{abc}=\frac{3abc}{abc}$
⇒ $\frac{a^2}{bc}+\frac{b^2}{ac}+\frac{c^2}{ab}=3$
Hence, the correct answer is 3.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Result Date:
4 Nov, 2024
- 11 Nov, 2024
Tier II
Admit Card Date:
12 Nov, 2024
- 12 Nov, 2024
Application Date:
5 Nov, 2024
- 20 Nov, 2024
Exam Date:
17 Nov, 2024
- 17 Nov, 2024
Application Date:
18 Oct, 2024
- 22 Nov, 2024
