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KVPY SA Exam 2011 Question Paper

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Question : 2

Total: 80

Let a, b, x, y be real numbers such that a2+b2=81, x2+y2=121 and ax+by=99. Then the set of all possible values of ay−bx is

(0,
9
11
]
(0,
9
11
)
{0}
[
9
11
,∞)

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