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2006
Mathematics
JAMB
If m:n = 13:111, find m
2
- n
2
: (m + n)
2
A.
1:11
B.
1:13
C.
1:10
D.
1:12
Correct Answer:
1:12
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
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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