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If a, b and c are real and a + b + c = 0, then the line 3ax + 4by + c = 0 passes through the point whose coordinates are

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If a, b and c are real and a + b + c = 0, then the line 3ax + 4by + c = 0 passes through the point whose coordinates are

(A)  (1,1)

(B)  (3,-4)

(C)  (3,4)

(D)  (1/4, 1/3)

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Best answer

Correct option  (D)  (1/4,1/3)

Explanation :

We have

a + b + c = 0

3a(1/3) + 4b(1/4) + c = 0

which implies that the line 3ax + 4by + c passes through the point (1/3,1/4)

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