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NCERT Class XI Mathematics - Straight Lines - Solutions
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Question : 40 of 74
Marks:
+1,
-0
Find the distance between parallel lines (i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0 (ii) l(x + y) + p = 0 and l(x + y) – r = 0.
Solution:
If lines are Ax + By + = 0 and Ax + By + = 0, then distance between parallel lines, d = (i) Here, A = 15, B = 8, = – 34, = 31 d = = units (ii) The line can be re-written as lx + ly + p = 0 and lx + ly – r = 0 Here A = l, B = l, = p, = –r d = = units
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