If p is the perpendicular distance from the centre of the sphere to the plane then which one of the ...........

Mathematics (NDA) Coordinate 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.

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

This questions was previously asked in

2022 NDA -1 Math

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0 < p < 0•5

0.5 < p < 1

l<p<1.5

> 1.5

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