Question on: JAMB Mathematics - 2024
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
A
\(\sqrt{13}\)
B
\(3\sqrt{2}\)
C
\(\sqrt{26}\)
D
\(10\sqrt{5}\)
Ask EduPadi AI for a detailed answer
Correct Option: B
Find intersection:
\(2x + 4 = 7 - x\)
\(3x = 3\)
\(x = 1\)
Substitute:
\(y = 2(1) + 4 = 6\)
Distance between (4, 3) and (1, 6):
\[\sqrt{(1 - 4)^2 + (6 - 3)^2} = \sqrt{18} = 3\sqrt{2}\]
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