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Home/ Questions/Q 459205
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annu10
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annu10
Asked: February 1, 20252025-02-01T05:44:22+00:00 2025-02-01T05:44:22+00:00In: Class 12 Maths

Equation of a line passing through point (1, 1, 1) and parallel to z-axis is

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0%x/1 = y/1 = z/1
0%(x - 1)/1 = (y - 1)/1
0%x/0 = y/0 = (z - 1)/1
100%(x-1)/0 = (y - 1)/0 = (z - 1)/1 ( 2 voters )
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Parallel to the z-axis refers to lines or planes that have the same direction as the z-axis in a three-dimensional coordinate system. These objects do not intersect the z-axis and their position is constant along the x and y coordinates. Examples include vertical lines or planes extending up and down.

Class 12 Maths Chapter 11 Three Dimensional Geometry is important for CBSE Exam 2024-25. It covers topics like direction cosines and direction ratios of a line equations of a line in different forms shortest distance between two lines equations of a plane angles between planes and distance of a point from a plane.

class 12 mathsparallel to the z-axisthree dimensional geometry
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    1. bittu45
      2025-02-01T06:14:31+00:00Added an answer on February 1, 2025 at 6:14 am

      A line parallel to the z-axis has constant x and y coordinates, while the z-coordinate changes. For a line passing through the point (1, 1, 1) and parallel to the z-axis, the x and y coordinates remain constant at 1, while the z-coordinate changes.

      The parametric equation of the line is:

      (x – 1)/0 = (y – 1)/0 = (z – 1)/1

      Thus, the correct answer is:
      (x – 1)/0 = (y – 1)/0 = (z – 1)/1

      Click here for more:
      https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-11

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