Given that x2 + y2 + k = 60 and x = \(\sqrt{10}\) when y = 4, find the value of k.
A
56
B
34
C
32
D
-34
E
-56
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
x\(^2\) + y\(^2\) + k = 60
(\sqrt10)\(^2\) + (4)\(^2\) + k = 60
k + 10 + 16 = 60
k = 60 - 26
k = 34
Source: WAEC / JAMB / NECO Classroom Archive (Record #42529)