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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow.-:
Consider a circle passing through the origin and the points (a,b) and (−b,−a).

[NDA I 2016]

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Question : 72

Total: 120

On which line does the centre of the circle lie ?

x+y=0
x−y=0
x+y=a+b
x−y=a2−b2

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