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BITSAT2009MathematicsThree Dimensional GeometryActual

If the line ( x-4 1 = y-2 1 = z-k 2 ) lies in the plane (2 x-4 y+z=7 ), then the value of (k ) is

Options

  1. A4
  2. B-7
  3. C7
  4. DNo real value

Correct answer

C. 7

Step-by-step solution

The point ((4,2, k) ) on the line also lies on the plane (2 x-4 y+z=7 ) So, (8-8+ k =7 k =7 )

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