Q.

The points (-a,-b), (a,b), (a2,ab) forms

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a

Vertices of an equilateral triangle

b

Vertices of right angled triangle

c

Vertices of a scalen triangle

d

a striaght line

answer is D.

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Detailed Solution

The slope of the line joining the points (a,b), (-a,-b) is b+ba+a=2b2a=baThe slope of the line joining the points (a2,ab), (a,b) is b-aba-a2=b(1-a)a(1-a)=baObserving the above two slopes, they are equal so that the given points are collinear, they forms a straight line
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The points (-a,-b), (a,b), (a2,ab) forms