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Example 9 - Lines where tan = 1/2 , where is inclination - Slope-Intercept form

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
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Example 9 Write the equation of the lines for which tan θ = 1/2 , where θ is the inclination of the line and (i) y-intercept is - 3/2 We know that equation of line is y = mx + c where m is slope of a line & c is y-intercept Here m = tan θ = 1/2 & c = y-intercept = – 3/2 . Putting values y = 1/2 x + ((−3)/2) y = 1/2 x − 3/2 y = (𝑥 − 3)/2 2y = x – 3 2y – x + 3 = 0 Hence, the required equation is 2y – x + 3 = 0 Example 9 Write the equation of the lines for which tan θ = 1/2 , where θ is the inclination of the line and (ii) x-intercept is 4. We know that equation of line by slope intercept from y = m(x – d) where m = Slope = tan θ = 1/2 & d = x-intercept = 4 Putting values y = 1/2 (x – 4) 2y = (x – 4) 2y – x + 4 = 0 Hence, the required equation is 2y – x + 4 = 0

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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