NCERT Class XI Mathematics - Straight Lines - Solutions

Question : 20

Total: 74

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30° with positive direction of the x-axis.

Solution:

We know that the equation of line with slope m and passing through
the point (x0,y0) is given by (y – y0) = m(x – x0)
Here, m = tan 30° =

√3

, x0 = 0 , y0 = 2
(y - 2) =

√3

(x - 0) ⇒ x - √3y+2√3 = 0

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