2007
Mathematics
67ca00ce0c643c71d77dee1f
If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is
A.
-4/3
B.
-3/4
C.
4/3
D.
3/4
Correct Answer: 3/4
Explanation
If the line 3y = 4x – 1 is parallel t[ line qy = x + 3 Implies gradient of 3y = 4x – 1 Y = 4/3x - 1/3 ∴Gradient = 4/3 Gradient of line qy = x + 3 Y = 1/qx + 3/q ∴ Gradient = 1/q 4/3 = 1/q 4q = 3 Q = 3/4
If the line 3y = 4x – 1 is parallel t[ line qy = x + 3 Implies gradient of 3y = 4x – 1 Y = 4/3x - 1/3 ∴Gradient = 4/3 Gradient of line qy = x + 3 Y = 1/qx + 3/q ∴ Gradient = 1/q 4/3 = 1/q 4q = 3 Q = 3/4THIS WEEK's
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