2002
Mathematics
67ca00ce0c643c71d77dee1f
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
Correct Answer: 8
Explanation
2y - ax + 4 = 0 ⟹ 2y = ax - 4. y + (x/4) - 7 = 0 ⟹ 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 ⟹ a = 8.
2y - ax + 4 = 0 ⟹ 2y = ax - 4. y + (x/4) - 7 = 0 ⟹ 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 ⟹ a = 8.THIS WEEK's
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