ISRO Mechanical & Aerospace 2012 - Question 28

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The equation of the plane through the line (x-1)/3 = (y-4)/2 = (z-4)/-2 and parallel to the line (x+1)/2 = (y-1)/-4 = (z+2)/1 is

  • A. 3x + 2y - 2z = 101
  • B. 2x - 4y + z = 98
  • C. 6x + 7y + 16z = 98
  • D. 6x - 8y - 2z = 101

Answer: C. 6x + 7y + 16z = 98

Explanation: Normal is cross product of direction vectors. Equation derived is 6x + 7y + 16z = 98.

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