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How many ordered pairs of (m,n) integers satisfy `(m)/(12)=(12)/(n)`?A. `30`B. `15`C. `12`D. `10` |
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Answer» Correct Answer - A `(a)` `(m)/(12)=(12)/(n)` `impliesmn=144impliesn=(144)/(m)` 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 pairs are also possible hence `=30` |
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