Question

if p/q are rational numbers then
P/q is multiplicative inverse of r/s if options 1]p/q=r/s 2]p/q+r/s=1 3]p/q+r/s=0​

Answer 1

Given that,

p/q is the multiplicative inverse of r/s.

To find,

The correct option.

Solution,

The property of multiplicative inverse is as follows :

$a\times \dfrac{1}{a}=1$

Here, (1/a) is the multiplicative inverse of a.

If we cross multiply, we found that a = a

In this problem, p/q is the multiplicative inverse of r/s. It means that p/q=r/s. Hence, the correct option is (a).

Answer 2

Answer:

option 2

Step-by-step explanation:

according to principle

a×1/a = 1

here, a =p/q

1/a = r/s

r/s is the multiplicative inverse of p/q (in this case)

so

p/q x r/s =1

or

p/q = s/r ( not r/s) so option 1 is wrong

option 2 is the correct answer