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UPSC NDA I 2022 Mathematics Solved Paper

Consider the following for the next three (03) items that follow : Q.No : 91 - 93

The plane 6x+ky+3z−12=0 where k≠0 meets the coordinate axes at A,B and C respectively. The equation of the sphere passing through the origin and A,B,C is x2+y2+z2−2x−3y−4z=0

[NDA-I 2022]

Question : 92

Total: 120

If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct ?

[NDA-I 2022]

0<p<0.5
0.5<p<1
1<p<1.5
p>1.5

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