If the A.M. of $a$ and $c$ is 16 and if $a=8$, then the G.M. of $a$ and $c$ is\

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Professor PC Thomas Classes · Answer

(a) : Given, A.M. of $a$ and $c=\frac{a+c}{2}=16$\ $\Rightarrow \quad c=32-a \Rightarrow c=24$\ $\{	herefore a=8\}$\ $	herefore \quad$ G.M. of $a$ and $c=\sqrt{a c}=\sqrt{8 	imes 24}=8 \sqrt{3}$\