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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
Consider the curves
f(x)=x|x|−1 and g(x)={

3x

2

x>0

2x

x≤0

[NDA I 2016]

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Question : 12

Total: 120

Where do the curves intersect ?

At (2,3) only
At (-1,-2) only
At (2,3) and (-1,-2)
Neither at (2,3) not at (-1,-2)

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