3y 4x - 1 and Ky x 3 are equations of two strai... - JAMB Mathematics 2000 Question
3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.
A
-4/3
B
-3/4
C
3/4
D
4/3
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Correct Option: A
Grad of 3y = 4x - 1
y = 4x/3 - 1/3
Grad = 4/3
Grad of Ky = x + 3
y = x/k + 3/4
Grad = 1/k
Since two lines are perpendicular,
1/k = -3/4
-3k = 4
k = -4/3
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