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Determine the Distance Between the Pair of Parallel Lines: 8x + 15y − 34 = 0 and 8x + 15y + 31 = 0 - Mathematics

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प्रश्न

Determine the distance between the pair of parallel lines:

8x + 15y − 34 = 0 and 8x + 15y + 31 = 0

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उत्तर

 The parallel lines are
8x + 15y − 34 = 0            ... (1)
8x + 15y + 31 = 0            ... (2)
Let d be the distance between the given lines.

\[\Rightarrow d = \left| \frac{- 34 - 31}{\sqrt{8^2 + {15}^2}} \right| = \frac{65}{17}\] units

 

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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 1.2 | पृष्ठ ११४

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