Ex 10.3, 6 (ii) - Chapter 10 Class 11 Straight Lines (Term 1)
Last updated at Aug. 28, 2021 by Teachoo
Last updated at Aug. 28, 2021 by Teachoo
Transcript
Ex 10.3, 6 Find the distance between parallel lines (ii) ๐(x + y) + p = 0 and ๐(x + y) โ r = 0 We know that, distance between two parallel lines Ax + By + C1 = 0 & Ax + By + C2 = 0 is d = |๐ถ_1 โ ๐ถ_2 |/โ(๐ด^2 + ๐ต^2 ) Equation of the first line is ๐(x + y) + p = 0 ๐x + ๐y + p = 0 Above equation is of the form Ax + By + C1 = 0 where A = ๐ , B = ๐ & C1 = p Equation of the second line is ๐(x + y) โ r = 0 ๐x + ly โ r = 0 The above equation is of the form Ax + By + C2 = 0 where A = ๐ , B = ๐ , C2 = โr Distance between parallel lines ๐(x + y) + p = 0 & ๐(x + y) โ r = 0 is d = |๐ถ_1 โ ๐ถ_2 |/โ(๐ด^2 + ๐ต^2 ) Putting values d = |๐ โ (โ๐)|/โ(๐^2 + ๐^2 ) d = |๐ + ๐|/โ(2๐^2 ) d = (|๐ + ๐| )/(|๐|โ2) d = |(๐ + ๐ )/(๐โ2)| Thus, the required distance is |(๐ + ๐ )/(๐โ๐)| units
Ex 10.3
Ex 10.3, 1 (ii) Important
Ex 10.3, 1 (iii)
Ex 10.3, 2 (i)
Ex 10.3, 2 (ii)
Ex 10.3, 2 (iii) Important
Ex 10.3, 3 (i)
Ex 10.3, 3 (ii)
Ex 10.3, 3 (iii) Important
Ex 10.3, 4
Ex 10.3, 5 Important
Ex 10.3, 6 (i) Important
Ex 10.3, 6 (ii) You are here
Ex 10.3, 7
Ex 10.3, 8 Important
Ex 10.3, 9 Important
Ex 10.3, 10
Ex 10.3, 11
Ex 10.3, 12 Important
Ex 10.3, 13
Ex 10.3, 14 Important
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Ex 10.3, 16 Important
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Ex 10.3
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