If \( \begin{vmatrix}  x_{1} & y_{1} & 1 \\  x_{2} & y_{2} & 1 \\  x_{3} & y_{3} & 1   \end{vmatrix} = 0 \) ,  then the points \( \Large \left(x_{1},\ y_{1}\right),\ \left(x_{2},\ y_{2}\right)\ and\ \left(x_{3},\ y_{3}\right) \) are:

If
\( \begin{vmatrix}
x_{1} & y_{1} & 1 \\
x_{2} & y_{2} & 1 \\
x_{3} & y_{3} & 1
\end{vmatrix} = 0 \) , then the points \( \Large \left(x_{1},\ y_{1}\right),\ \left(x_{2},\ y_{2}\right)\ and\ \left(x_{3},\ y_{3}\right) \) are:

A) Vertices of an equilateral triangle	B) Vertices of a right angled triangle
C) Vertices of an isosceles triangle	D) none of these

Correct answer:




D) none of these

Description for Correct answer:

If
\( \begin{vmatrix}
x_{1} & y_{1} & 1 \\
x_{2} & y_{2} & 1 \\
x_{3} & y_{3} & 1
\end{vmatrix} = 0 \), then the points are collinear

Please provide the error details in above question

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