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Find the Equation of a Line Passing Through the Point (2, 3) and Parallel to the Line 3x − 4y + 5 = 0.

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प्रश्न

Find the equation of a line passing through the point (2, 3) and parallel to the line 3x − 4y + 5 = 0.

संक्षेप में उत्तर
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उत्तर

The equation of the line parallel to 3x − 4y + 5 = 0 is \[3x - 4y + \lambda = 0\] , where

\[\lambda\] is a constant.
It passes through (2, 3).

\[\therefore\]  \[6 - 12 + \lambda = 0\]

\[ \Rightarrow \lambda = 6\]

Hence, the required line is 3x − 4y + 6 = 0.

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Equations of Line in Different Forms - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
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अध्याय 23: The straight lines - Exercise 23.12 [पृष्ठ ९२]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.12 | Q 1 | पृष्ठ ९२

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