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Question

If the curves x2a2+y2b2=1 and x225+y216=1 cut each other orthogonally, then a2−b2=

A
9
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B
400
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C
75
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D
41
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Solution

The correct option is A 9
There are two curves x2a2+y2b2=1 and x225+y216=1
If two curves intersect each other orthogonally, then
a225=b216
a2b2=9

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