If the plane is tangent to the sphere , what are the possible values of the constant ?

Answer and explanation

Correct answer: B.

  1. Step 1: The center of the sphere is and its radius is .
  2. Step 2: A plane is tangent to a sphere if the perpendicular distance from the center to the plane equals the sphere radius: .
  3. Step 3: Calculate perpendicular distance from : .
Answer
.
Why not the others: uses ; uses ; equates directly to .

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