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Question


\( \text { If a point }(x, y) \text { moves on a curve and satisfies the equation }\left|\begin{array}{ccc} a & b & a x+b y \\ b & c & b x+c y \\ a x+b y & b x+a y & 0 \end{array}\right|=0 \) Then,

A

a, b, c form on AP

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B

a, b, c form an HP

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C

The point (x, y) lies on a curve (pair of straight lines) through the origin

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D

a, b, c form on GP

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