Question

If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then

• A. \( \frac{b}{a} \)
• B. \( \frac{a}{b} \)
• C. \( \frac{d}{c} \)
• D. \( \frac{f}{e} \)

Hint:

In problems involving ratios and proportions, set up equations based on the given relationships and solve step by step.

Answer 1

The Correct Option is B

We are given that \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), which implies that: \[ \frac{a}{c} = \frac{c}{d} \quad \Rightarrow \quad a \cdot d = c^2, \] and \[ \frac{a}{c} = \frac{e}{f} \quad \Rightarrow \quad a \cdot f = c \cdot e. \] Using this information, we solve for the ratio \( \frac{a}{b} \), which will give the final result.