The Straight Lines — MATHS STD 11 Science — Question
Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSThe Straight Lines1 Mark
Question
Write the equation of the line passing through the point (1, -2) and cutting off equal intercepts from the axes.
✓
Answer
Let the equation of the required line be $\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}} \ \big[\because$ the line has equal intercepts$\big]$ Now, it is passing through (1, -2) $\therefore \ \frac{1}{\text{a}}-\frac{2}{\text{a}}=1$ $\Rightarrow\text{a}=-1$ Hence, the required equation is given by $\frac{\text{x}}{-1}+\frac{\text{y}}{-1}=1$ $\Rightarrow\text{x}+\text{y}+1=0$
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