Example 9 - Chapter 10 Class 11 Straight Lines

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Example 9 Write the equation of the lines for which tan = 1/2 , where 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 = 1/2 & c = y-intercept = 3/2 . Putting values y = 1/2 x + (( 3)/2) y = 1/2 x 3/2 y = ( 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 = 1/2 , where 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 = 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