Ex 10.3, 6 - Chapter 10 Class 11 Straight Lines

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Ex10.3, 6 Find the distance between parallel lines 15x + 8y 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 = | _1 _2 |/ ( ^2 + ^2 ) Distance between parallel lines 15x + 8y 34 = 0 and 15x + 8y + 31 = 0 is d = | _1 _2 |/ ( ^2 + ^2 ) Putting values d = | 34 31|/ ( (15) ^2 + (8)^2 ) d = | 34 31|/ (225 + 64) d = | 65|/ 289 d = 65/ (17 17) d = 65/17 Thus, the required distance is 65/17 units Ex10.3, 6 Find the distance between parallel lines (ii) (x + y) + p = 0 and (x + y) r = 0 We know that , distance between two parallel lines Ax + By + C1 = 0 & Ax + By + C2 = 0 is d = | _1 _2 |/ ( ^2 + ^2 ) Distance between parallel lines (x + y) + p = 0 & (x + y) r = 0 is d = | _1 _2 |/ ( ^2 + ^2 ) Putting values d = | ( )|/ ( ^2 + ^2 ) d = | + |/ (2 ^2 ) d = ( + )/( 2) Thus, the required distance is ( + )/( 2) units