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MHT CET202620 April 2026Evening ShiftMathematicsThree Dimensional GeometryActual

The Cartesian equations of the line passing through A(0, 1, 1) and parallel to the X-axis are ....

Options

  1. Ay = 1, z = 1
  2. Bx = 0
  3. Cx + y + z = 2
  4. Dy = z

Correct answer

A. y = 1, z = 1

Step-by-step solution

The direction ratios of the X-axis are 1, 0, 0 . The line passes through the point A(0, 1, 1) and is parallel to the X-axis. Therefore, its direction ratios are 1, 0, 0 . The Cartesian equations of the line are given by: x - 0 1 = y - 1 0 = z - 1 0 This implies y - 1 = 0 and z - 1 = 0 . Thus, the equations of the line are y = 1, z = 1 . Answer: y = 1, z = 1

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