Question

4. Write the equation of the line parallel to X-axis, and passing through the point
1) (0, -3)
i) (0,4)
m (2,-5)
iv) (3, 4)​

Answer 1

Step-by-step explanation:

Equation of a line parallel to the x-axis and passing through the origin (0,0,0) is itself x-axis.

So, let A be a point on the x-axis.

Therefore, the coordinates of A are given by (a,0,0), where a\epsilon R.

Now, the direction ratios of OA are (a-0) =a,0 , 0

So, the equation of OA is given by,

\frac{x-0}{a} = \frac{y-0}{0} = \frac{z-0}{0}

or \Rightarrow \frac{x}{1} = \frac{y}{0} = \frac{z}{0} = a

Thus, the equation of the line parallel to the x-axis and passing through origin is

\frac{x}{1} = \frac{y}{0} = \frac{z}{0}