Straight LineMedium
Question
The points (-a,-b), (0, 0), (a, b) and are
Options
A.collinear
B.vertices of a rectangle
C.vertices of a parallelogram
D.None of the above
Solution
The point O(0, 0) is the mid point of A(-a, -b) and B(a,b).
Therefore A, O ,B are collinear and equation of line AOB is
Since, the fourth point D(a2, ab) satisfies the above equation.
Hence, the four points are collinear.
Therefore A, O ,B are collinear and equation of line AOB is
Since, the fourth point D(a2, ab) satisfies the above equation.
Hence, the four points are collinear.
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