Question

If $a+b=0$, match the following options appropriately.

• A. $a$
• B. $b$
• C. $\frac{1}{a}$
• D. $\frac{1}{b}$

Answer 1

Given that $a+b=0$
$⟹a=-b$
The negative of $a$ is $-a$ as $a+(-a)=0$
But $-a=-(-b)=b$
Thus, the negative of $a$ is $b$.
Similarly, The negative of $b$ is $-b$ as $b+(-b)=0$
But $-b=a$
Thus, the negative of $b$ is $a$.
Also, the negative of $\frac{1}{a}=-\frac{1}{a}=\frac{1}{b}(\because a=-b⟹\frac{1}{a}=-\frac{1}{b})$
And, the negative of $\frac{1}{b}=-\frac{1}{b}=\frac{1}{a}$