Example 14 - Reduce equation root 3x + y - 8 = 0 into normal form - Examples

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
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Example 14 Reduce the equation 3x + y 8 = 0 into normal form. Find the values of p and . 3x + y 8 = 0 " " 3 "x + y" = 8 Dividing by (( 3)2 + (1)2) = (3 + 1) = 4 = 2 ( 3 )/2 + /2 = 8/2 ( 3 )/2 + /2 = 4 ( 3/2) + (1/2) = 4 Normal form of any line is x cos + y sin = p Comparing (1) & (2) p = 4 & cos = 3/2 & sin = 1/2 We know that cos 30 = 3/2 and sin 30 = 1/2 Thus, = 30 So, = 30 & p = 4 Thus, the normal form of line is x cos 30 + y sin 30 = 4

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.