A) Collinear
B) Vertices of a rectangle
C) Vertices of a parallelogram
D) None of these
Correct Answer: A
Solution :
Here area of quadrilateral is equal to area of \[\Delta ABD\]+area of \[\Delta BCD\] \[=\left| \begin{array}{*{35}{r}} -a & -b & 1 \\ 0 & 0 & 1 \\ {{a}^{2}} & ab & 1 \\ \end{array}\, \right|+\left| \begin{array}{*{35}{r}} 0 & 0 & 1 \\ a & b & 1 \\ {{a}^{2}} & ab & 1 \\ \end{array}\, \right|=0\] Hence the points are collinear.You need to login to perform this action.
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