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MHT CET202012 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The parametric equations of the line passing through A (3,4,-7), B (1,-1,6) are

Options

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

Correct answer

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

Step-by-step solution

Let A ( x ₁, y ₁, z ₁ )=(3,4,-7) B ( x ₂, y ₂, z ₂ )=(1,-1,6) Required equation is x = x ₁+ ( x ₂- x ₁ ) x =3-2 y = y ₁+ ( y ₂- y ₁ ) y =4-5 z = z ₁+ ( z ₂- z ₁ ) z =-7+13

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