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Write the Equation of the Line Passing Through the Point (1, −2) and Cutting off Equal Intercepts from the Axes. - Mathematics

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प्रश्न

Write the equation of the line passing through the point (1, −2) and cutting off equal intercepts from the axes.

संक्षेप में उत्तर
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उत्तर

Let the equation of the required line be \[\frac{x}{a} + \frac{y}{a} = 1 \left[ \because \text { the line has equal intercepts } \right]\]

Now, it is passing through (1, −2)

\[\therefore \frac{1}{a} - \frac{2}{a} = 1\]

\[ \Rightarrow a = - 1\]

Hence, the required equation is given by

\[\frac{x}{- 1} + \frac{y}{- 1} = 1\]

\[ \Rightarrow x + y + 1 = 0\]

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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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अध्याय 23: The straight lines - Exercise 23.20 [पृष्ठ १३२]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.20 | Q 17 | पृष्ठ १३२

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