Question

Which of the followingis multiplicative of -a? (-1/a a 1 1/a)​

Answer 1

Given:

The given value is $-a$.

To find:

The multiplicative inverse of $-a$.

Solution:

We know that $y$ is the multiplicative interval of $x$ if $xy=1$.

Let $x$ be the multiplicative inverse of the given value $-a$. Then,

$(-a)\times x=1$

Divide both sides by $-a$.

$x=\dfrac{1}{-a}$

$x=-\dfrac{1}{a}$

Therefore, the multiplicative inverse of $-a$ is $-\dfrac{1}{a}$. Hence the correct option is A.