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Questions  

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

a
has a fixed direction
b
always passes through a fixed point
c
forms a triangle with the axes whose area is constant
d
always cuts intercepts on the axes such that their sum is zero.

detailed solution

Correct option is C

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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