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UPSC NDA I 2022 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow : Q.No : 91 - 93
The plane 6x+ky+3z−12=06x+ky+3z-12=0 where k≠0k \neq 0 meets the coordinate axes at A,BA, B and CC respectively. The equation of the sphere passing through the origin and A,B,CA, B, C is x2+y2+z2−2x−3y−4z=0x^{2}+y^{2}+z^{2}-2x-3y-4z=0
[NDA-I 2022]
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