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Determine the Distance Between the Pair of Parallel Lines: 4x + 3y − 11 = 0 and 8x + 6y = 15

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Question

Determine the distance between the pair of parallel lines:

4x + 3y − 11 = 0 and 8x + 6y = 15

Short/Brief Note
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Solution

The given parallel lines can be written as
4x + 3y − 11 = 0            ... (1)

\[4x + 3y - \frac{15}{2} = 0\]     ... (2)
Let d be the distance between the given lines.
\[\Rightarrow d = \left| \frac{- 11 + \frac{15}{2}}{\sqrt{4^2 + 3^2}} \right| = \frac{7}{2 \times 5} = \frac{7}{10}\] units

 

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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 1.4 | Page 114

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