Question

Find the G. M. between $\frac{3}{2}$ and $\frac{27}{2}$

• A. $\frac{9}{2}$
• B. $\frac{3}{2}$
• C. $\frac{9}{11}$
• D. $\frac{5}{2}$

Answer 1

The correct option is A

$\frac{9}{2}$

We know that if a is the G. M. between a and b, then

$G$ = $\sqrt{ab}$

∴ G. M. between $\frac{3}{2}$ and $\frac{27}{2}$ = $\sqrt{\frac{3}{2}\times \frac{27}{2}}$ = $\frac{9}{2}$