Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^{2 a}=y^{2 b}=z^{2 c} \neq 0$ and $x^2=y z$, then the value of $\frac{a b+b c+c a}{b c}$ is:

Options:

3ac

3bc

3ab

3

Correct Answer:

3

Explanation:

$x^{2 a}=y^{2 b}=z^{2 c} \neq 0$

$x^2=y z$

Then the value of $\frac{a b+b c+c a}{b c}$

Put x = y = z = a = b = c

$\frac{a b+b c+c a}{b c}$ = $\frac{1 × 1 + 1 × 1 + 1 × 1}{1 × 1}$ = 3