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Find the Equation of the Straight Lines Passing Through the Following Pair of Point : (0, −A) and (B, 0) - Mathematics

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प्रश्न

Find the equation of the straight lines passing through the following pair of point :

(0, −a) and (b, 0)

थोडक्यात उत्तर
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उत्तर

 (0, −a) and (b, 0) 

\[\text { Here,} \left( x_1 , y_1 \right) \equiv \left( 0, - a \right) \]

\[\left( x_2 , y_2 \right) \equiv \left( b, 0 \right)\]

So, the equation of the line passing through the two points is

\[y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}\left( x - x_1 \right)\]

\[ \Rightarrow y + a = \frac{0 + a}{b - 0}\left( x - 0 \right)\]

\[ \Rightarrow ax - by = ab\]

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Equation of a Straight Line - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
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पाठ 23: The straight lines - Exercise 23.5 [पृष्ठ ३५]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 23 The straight lines
Exercise 23.5 | Q 1.3 | पृष्ठ ३५

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