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The Equation of the Line Passing Through (1, 5) and Perpendicular to the Line 3x − 5y + 7 = 0 is - Mathematics

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प्रश्न

The equation of the line passing through (1, 5) and perpendicular to the line 3x − 5y + 7 = 0 is

पर्याय

  •  5x + 3y − 20 = 0

  • 3x − 5y + 7 = 0

  • 3x − 5y + 6 = 0

  • 5x + 3y + 7 = 0

MCQ
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उत्तर

 5x + 3y − 20 = 0

A line perpendicular to 3x − 5y + 7 = 0 is given by \[5x + 3y + \lambda = 0\]

This line passes through (1, 5).

\[5 + 15 + \lambda = 0\]

\[ \Rightarrow \lambda = - 20\]

Therefore, the equation of the required line is \[5x + 3y - 20 = 0\]

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Equation of a Straight Line - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 23: The straight lines - Exercise 23.21 [पृष्ठ १३४]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 23 The straight lines
Exercise 23.21 | Q 19 | पृष्ठ १३४

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