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Determine the Distance Between the Pair of Parallel Lines: Y = Mx + C And Y = Mx + D

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Question

Determine the distance between the pair of parallel lines:

y = mx + c and y = mx + d

Short/Brief Note
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Solution

 The given parallel lines can be written as
mx − y +c = 0            ... (1)
mx − y +d = 0            ... (2)
Let d be the distance between the given lines.

\[\Rightarrow d = \left| \frac{c - d}{\sqrt{m^2 + 1}} \right|\]

 

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Chapter 23: The straight lines - Exercise 23.16 [Page 114]

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R.D. Sharma Mathematics [English] Class 11
Chapter 23 The straight lines
Exercise 23.16 | Q 1.3 | Page 114

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