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Q.

For real numbers a,b (a > b > 0), let Area (x,y):x2+y2a2 and x2a2+y2b21=30π and Area (x,y):x2+y2b2 and x2a2+y2b21=18π  Then the value of (a-b)2 is equal to__.

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answer is 12.

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Detailed Solution

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given πa2πab=30π and πabπb2=18π on subtracting, we get (a-b)2 =a2 - 2ab + b2 = 12

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