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प्रश्न
Find the differential equation of family of lines making equal intercepts on coordinate axes
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उत्तर
The equation of family of lines which makes equal intercepts on coordinate axes is
x + y = a, where a is an arbitrary constant.
Differentiating w.r.t. x, we get
`1 + ("d"y)/("d"x)` = 0, which is the required differential equation.
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