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Question

If mn=16 and <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> m2+n2=400, then find mn.

A
72
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B
78
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C
84
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D
88
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Solution

The correct option is A 72

It is given that, mn=16 ------(i)
And, m2 + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> n2=400 -----(ii)
Now, squaring (i) we get,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> (mn)2 = 162
m2 + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> n22mn=256
4002mn=256
2mn=256400
2mn=144
mn=72
Hence, the value of mn is 72.


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