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How many ordered pairs of (m,n) integers...

How many ordered pairs of (m,n) integers satisfy `(m)/(12)=(12)/(n)`?

A

30

B

15

C

12

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
`(m)/(12)=(12)/(n)`
`mn=144impliesn=(144)/(3)`
we want to find here total number of divisors of 144
`144=2^(4).3^(2)` Total divisors are `(4+1)(2+1)=15`
But negative paris are also posible hence=30.
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