If m:n = 13:11, find m\(^2\) – n\(^2\) : (m + n)\(^2\)

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Mathematics JAMB 2006

If m:n = 13:11, find m\(^2\) – n\(^2\) : (m + n)\(^2\)

  • 1:11
  • 1:13
  • 1:10
  • 1:12 checkmark

The correct answer is: D

Explanation

m : n = 13 : 11
m\(^2\) - n\(^2\) : (m + n)2
= 13\(^2\) - 11\(^2\) : (13 + 11)\(^2\)
= 169 - 121 : 24\(^2\)
= 48 : 576
= 1 : 12

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