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MHT CET202020 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The parametric equation of the line passing throught the points A(3,4,-7) and B(1,-1,6) are

Options

  1. Ax=1+3 , y=-1+4 , z=6-7
  2. Bx=-2+3 , y =-5+4 , z =13-7
  3. Cx=3-2 , y=4-5 , z =-7+13
  4. Dx=3+ , y =-1+4 , z =-7+6

Correct answer

C. x=3-2 , y=4-5 , z =-7+13

Step-by-step solution

Cartesian Equation is aligned & x-x₁ x₁-x₂ = y-y₁ y₁-y₂ = z-z₁ z₁-z₂ i.e. & x-3 3-1 = y-4 4+1 = z+7 -7-6 x-3 2 = y-4 5 = z+7 -13 = ...say & x-3 -2 = y-4 -5 = z+7 13 = x=3-2 , y=4-5 , z=-7+13 aligned

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