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Find the value of a if the line 2y - ax + 4 = 0...

Mathematics
JAMB 2002

Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0

  • A. -4
  • B. 4
  • C. 8
  • D. -8
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Correct Answer: Option C
Explanation

2y - ax + 4 = 0 \(\implies\) 2y = ax - 4.

y + (x/4) - 7 = 0 \(\implies\) y = -x/4 + 7

 Slope of line 1 = a/2

Slope of line 2 = -1/4

-1/4 x a/2 = -1 (product of the slope of two perpendicular lines = -1)

a/8 = 1 \(\implies\) a = 8.


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