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What is the length of the diameter of the sphere whose centre is at (1,-2,3) and which touches the plane 6 x-3 y+2 z-4=0 ?

Options

  1. A1 unit
  2. B2 units
  3. C3 units
  4. D4 units

Correct answer

D. 4 units

Step-by-step solution

Radius of the sphere = 6(1)-3(-2)+2(3)-4 (6)^2+(-3)^2+(2)^2 = 6+6+6-4 7 = 14 7 =2 Diameter of the sphere =2 2=4 units

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