Ex 9.3

Chapter 9 Class 11 Straight Lines
Serial order wise

Ā

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### Transcript

Ex 9.3, 6 Find the distance between parallel lines 15x + 8y ā 34 = 0 and 15x + 8y + 31 = 0 We know that , distance between two parallel lines Ax + By + C1 = 0 & Ax + By + C2 = 0 is d = |š¶_1ā š¶_2 |/ā(š“^2 + šµ^2 ) Equation of first line is 15x + 8y ā 34 = 0 Above equation is of the form Ax + By + C1 = 0 where A = 15, B = 8 & C1 = ā 34 Equation of second line is 15x + 8y + 31 = 0 Above equation is of the form Ax + By + C2 = 0 where A = 15 , B = 8 , C2 = 31 Distance between parallel lines 15x + 8y ā 34 = 0 and 15x + 8y + 31 = 0 is d = |š¶_1ā š¶_2 |/ā(š“^2 + šµ^2 ) Putting values d = |ā34 ā 31|/ā(ć(15)ć^2 + (8)^2 ) d = |ā34 ā 31|/ā(225 + 64) d = |ā65|/ā289 d = 65/ā(17 Ć 17) d = 65/17 Thus, the required distance is šš/šš units

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.