If a<0 and b>0, then in which quadrant or on which axis do each of the points A (-b, a), B (-a,-b), C (b,-a) and D (a,-b) lie. Justify your answer.

From the graph, its clear that, 

A(-b,a) lies in II quadrant.

B(-a,-b) lies in III quadrant.

C(b,-a) lies in IV quadrant.

D(a,-b) lies in IV quadrant.

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A (-b,a)  2nd quadrant

B(-a,-b) 3rd quadrant

C(b,-a) 4th quadrant

D(a,-b) 4th quadrant

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