How many ordered pairs of (m,n) integers satisfy `(m)/(12)=(12)/(n)`?A. 30B. 15C. 12D. 10

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

1.	How many ordered pairs of (m,n) integers satisfy `(m)/(12)=(12)/(n)`?A. 30B. 15C. 12D. 10
Answer» Correct Answer - 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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How many ordered pairs of (m,n) integers satisfy `(m)/(12)=(12)/(n)`?A. 30B. 15C. 12D. 10

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