NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 18
Total: 74
Passing through (2,23) and inclined with the x-axis at an angle of 75°.
Solution:  
We know that the equation of a line with slope m and passing through the point (x0,y0) is given by (y – y0) = m(x – x0)
Here,m = tan 75° = 2+ 3, x0 = 2, y0 = 2 3
Hence, required equation is (y - 23) = (2 + 3) (x - 2)
⇒ y - 23 = 2x + 3x - 4 - 23(2+3)x - y - 4 = 0
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