Question

If a, b are non-zero real numbers of opposite signs, then which of the following is/are true?

• A. $ab>0$
• B. $ab<0$
• C. $\frac{a}{b}>0$
• D. $\frac{a}{b}<0$

Answer 1

Answer: (B), (D)

$\frac{a}{b}<0$

Since, a and b are non-zero real numbers of opposite sign, that means one of them will be positive and the other one will be negative.
Hence, their product or the quotient will be negative or less than 0.