If $a$ is inversely proportional to $b$ and $b$ is inversely proportional to $c$ then what is proportionality between $a$ and $c$ ?

Direct

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Inverse

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No proportionality

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Can't be determinal

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Solution

The correct option is A Direct
$a \propto \frac{1}{b} \Rightarrow a = \frac{k_{1}}{b}; k_{1}$ is a constant
$b \propto \frac{1}{c} \Rightarrow b = \frac{K_{2}}{c}; k_{2}$ is a constant
$\Rightarrow a = \frac{k_{1} c}{k_{2}} = k_{3} c; k_{3} = \frac{k_{1}}{k_{2}}$ is another constant
$\Rightarrow a \propto c$

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If a is inversely proportional to b and b is inversely proportional to c then what is proportionality between a and c?

The correct option is A Directa∝1b⇒a=k1b;k1 is a constantb∝1c⇒b=K2c;k2 is a constant⇒a=k1ck2=k3c;k3=k1k2 is another constant⇒a∝c

If $a$ is inversely proportional to $b$ and $b$ is inversely proportional to $c$ then what is proportionality between $a$ and $c$ ?