Question on: JAMB Mathematics - 2000

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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