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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