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If the line x-4 1 = y-2 1 = z-k 2 lies on the plane 2 x-4 y+z=7 , then what is the value of k ?

Options

  1. A2
  2. B3
  3. C5
  4. D7

Correct answer

D. 7

Step-by-step solution

Line x-4 1 = y-2 1 = z-k 2 passes through (4,2, k) are lies in plane 2 x-4 y+z=7 so it must satisfy aligned & 2(4)-4(2)+k=7 & k=7 aligned

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