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Question

The points (3a, 0), (0, 3b) and (a, 2b) are


A

Vertices of an equilateral triangle

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B

Vertices of an isosceles triangle

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C

Vertices of a right angled isosceles triangle

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D

Collinear

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Solution

The correct option is D

Collinear


I1=(3a)2+(3b)2=3a2+b2

I2=a2+b2=a2+b2

I3=(2a)2+(2b)2=2a2+b2I1=I2+I3

Hence the points are collinear.


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