NCERT Class XI Mathematics - Straight Lines - Solutions

Question : 28

Total: 74

Find equation of the line through the point (0, 2) making an angle

2π

with the positive x-axis. Also, find the equation of the line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Solution:

Here, m = tan

2π

= - √3
The equation of the line passing through point (0, 2) is y − 2 = − √3 (x - 0)
⇒ √3x+y−2 = 0
The slope of line parallel to √3x+y−2 = 0 is - √3
Since, it passes through (0, –2).
So, the equation of line is 2 y + 2 = − √3 (x - 0) ⇒ √3x+y+2 = 0.

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