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UPSC NDA I 2015 Mathematics Solved Paper

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For the next two (2) items that follow :
A triangular plane ABC with centroid (1, 2, 3) cuts the coordinate axes at A, B,C respectively

[NDA I 2015]

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Question : 58

Total: 120

What is the equation of the plane ABC?

x+2y+3z=1
3x+2y+z=3
2x+3y+6z=18
6x+3y+2z=18

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