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STRAIGHT LINES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSTRAIGHT LINES2 Marks
Question
Find the equation of a line that cuts off equal intercepts on the coordinate axis and passes through the point (2, 3).
✓

Answer

Let equal intercepts on the coordinate axis be a and the line passes through point (2, 3).
$\therefore \frac{2}{a} + \frac{3}{a} = 1 \Rightarrow $ a = 5
Thus equation of required line is
$\frac{x}{5} + \frac{y}{5} = 1 \Rightarrow$ x + y = 5

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