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Find the equation of the straight line which passes through (1, -2) and cuts off equal intercepts on the axes. |
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Answer» Given: A line passing through (1, -2) Assuming: The equation of the line cutting equal intercepts at coordinates of length ‘ a ‘ is Explanation: Formula used: \(\frac{x}{a}+\frac{y}{b}=1\) \(\frac{x}{a}+\frac{y}{a}=1\) ⇒ x + y = a The line x + y = a passes through (1, -2 ) So the point satisfy the equation 1 -2 = a ⇒ a = -1 Hence the equation of the line is x + y = -1 |
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