NDA Math Three Dimensional Geometry

Consider the following for the next three (03) items that follow :

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 : 6 of 92

Marks: +1, -0

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

Validate

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