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

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प्रश्न

Determine the distance between the pair of parallel lines:

y = mx + c and y = mx + d

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उत्तर

 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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अध्याय 23: The straight lines - Exercise 23.16 [पृष्ठ ११४]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.16 | Q 1.3 | पृष्ठ ११४

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