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Find the Distance Between Parallel Lines L (X + Y) + P = 0 And L (X + Y) – R = 0 - Mathematics

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Find the distance between parallel lines  (y) + = 0 and (y) – = 0

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Solution

It is known that the distance (d) between parallel lines ABC1 = 0 and ABC2 = 0 is

The given parallel lines are (y) + = 0 and (y) – = 0.

lx ly + = 0 and lx ly – r = 0

Here, A = lB = lC1 = p, and C= –r.

Therefore, the distance between the parallel lines is

Concept: Distance of a Point from a Line
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APPEARS IN

NCERT Class 11 Mathematics
Chapter 10 Straight Lines
Q 6.2 | Page 227

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