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The intersect cuts-off by a line from y-axis is twice that from x-axis and the line passes through the point (1, 2). Find the equation of the line |
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Answer» The equation of a line intercept form is \(\frac{x}{a}+\frac{y}{b}=1\) Given, b = 2 ∴ (1) ⇒ \(\frac{x}{a}+\frac{y}{2a}=1\) ⇒ 2x + y = 2α Since the line passes though the point (1, 2), 2. 1 + 2 = 2a ⇒ a = 2 ∴ Equation of the line is 2x + y – 4 = 0. |
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