Example 9 - Write equation of lines for which tan θ = 1/2 , where θ is - Examples

part 2 - Example 7 (i) - Examples - Serial order wise - Chapter 9 Class 11 Straight Lines

 

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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

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