If non-zero numbers a, b, c are in H.P., then the straight line x/a + y/b + 1/c = 0 always passes through a fixed point. That point is: - Mathematics MCQ AIEEE 2026 | ExamTest.live

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If non-zero numbers a, b, c are in H.P., then the straight line \frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0 always passes through a fixed point. That point is:

Solution & Step-by-step Explanation

Given a, b, c are in H.P. This means: \frac{2}{b} = \frac{1}{a} + \frac{1}{c} ⟹ \frac{1}{a} - \frac{2}{b} + \frac{1}{c} = 0 The given line is \frac{1}{a} (x) + \frac{1}{b} (y) + \frac{1}{c} = 0 .Comparing the two equations: x = 1 and y = - 2 .So the fixed point is (1, - 2) .

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If non-zero numbers a, b, c are in H.P., then the straight line \frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0 always passes through a fixed point. That point is:

(- 1, 2)

(- 1, - 2)

(1, - 2)

(1, - 1/2)

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