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2000

Mathematics

67ca00ce0c643c71d77dee1f

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

Correct Answer: -4/3

Explanation

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

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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