\(
\text { If a point }(x, y) \text { moves on a curve and satisfies the equation }\left|\begin{array}{ccc}
a & b & a x+b y \\
b & c & b x+c y \\
a x+b y & b x+a y & 0
\end{array}\right|=0
\)
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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Open in App
Solution
The correct option is C
The point (x, y) lies on a
curve (pair of straight lines) through the origin