Question:

Let $a$ and $b$ be two non-zero rational numbers such that $a + \frac{1}{b} = 0$ . Without assigning any numerical values, determine whether $ab$ is positive or negative. Justify your answer.

Answer: Verified

From $a + \frac{1}{b} = 0$

$\Rightarrow a = -\frac{1}{b}$

$\Rightarrow ab = b \times -\frac{1}{b} = -1.$

Since $ab = -1$ , $ab$ is negative.

(All Q's of this Chapter solved)

More NCERT Questions

Let aaa and bbb be two non-zero rational numbers such that a+1b=0a + \frac{1}{b} = 0a+b1​=0. Without assigning any numerical values, determine whether ababab is positive or negative. Justify your answer.