Q.

A, B, C and D are the points of intersection with the coordinate axes of the lines ax+by=ab and bx+ay=ab then ,

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a

A, B, C, D  are concyclic

b

A, B, C, D  form a parallelogram

c

A, B, C, D form a rhombus

d

none of these

answer is A.

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Detailed Solution

The coordinates of A, B, C and D are A (b, 0), B (0, a), C (n, 0), D (0, b) respectively. Clearly , OA⋅OC=OB⋅OD=abSo, A, B, C, D are concyclic points.
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