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

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(1, -2)

(1, -1/2)

(-1, 2)

(-1, -2)

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detailed solution

Correct option is A

a,b,c are in H.P⇒ 1b−1a =1c−1b⇒ 1a−2b+1c =0which shows that the given line passes through the point 1, -2.

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If non zero numbers a, b, c are in H.P, then the straightline xa+yb+1c=0 always passes through a fixed point. That point is

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Ready to Test Your Skills?

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