If a * b=10 ab on Q^{+} then inverse of 0.01

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1.Relation and Function

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If $a * b=10$ ab on $Q^{+}$ then find the inverse of 0.01

Option A

Option B

Option C

Option D

Solution

Let $e$ be the identity element for $*$.

$\therefore a * e=a=e * a$

$\therefore a e=a \Rightarrow e=\frac{1}{10}$

Let $a^{\prime}$ be the inverse of $0.01 .$

$\therefore 0.01 * a^{\prime}=e$

$\therefore 10 \times \frac{1}{100} \times a^{\prime}=\frac{1}{10}$

$\Rightarrow a^{\prime}=1$

$\therefore$ Inverse of 0.01 is $1 .$

Standard 12

Mathematics

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