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Question

The points (-a, -b), (0, 0), (a, b) and (a2, ab) are


A

Collinear

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B

Vertices of a rectangle

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C

Vertices of a parallelogram

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D

None of these

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Solution

The correct option is A

Collinear


Here area of quadrilateral is equal to area of ABD + area of BCD

= ∣ ∣ab1001a2ab1∣ ∣ + ∣ ∣001ab1a2ab1∣ ∣ = 0

Hence the points are collinear.


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