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$A, B, C$ and D are the points of intersection with the coordinate axes of the lines
$a x + b y = a b$ and $b x + a y = a b$ then ,

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A, B, C, D are concyclic

A, B, C, D form a parallelogram

A, B, C, D form a rhombus

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detailed solution

Correct option is A

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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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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Ready to Test Your Skills?

free study material

$A, B, C$ and D are the points of intersection with the coordinate axes of the lines
$a x + b y = a b$ and $b x + a y = a b$ then ,