If m:n = 13:11, find m\(^2\) - n\(^2\) : (m + n)\(^2\)
A
1:11
B
1:13
C
1:10
D
1:12
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #8742)