If a, c, b are three terms of a G.P., then the line ax + by + c = 0

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has a fixed direction

always passes through a fixed point

forms a triangle with the axes whose area is constant

always cuts intercepts on the axes such that their sum is zero.

answer is C.

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Detailed Solution

Since a, c, b are in G.P.,∴c2=ab (1)The area of the triangle=12×-ca×-cb=12×c2ab=12 [Using (1)]= constant

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