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Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. X/A + Y/B = 1 - Mathematics

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Question

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

`x/a + y/b = 1`

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Solution

`x/a + y/b = 1`

Differentiating both sides of the given equation with respect to x, we get:

Hence, the required differential equation of the given curve is y" = 0

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Chapter 9: Differential Equations - Exercise 9.3 [Page 391]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.3 | Q 1 | Page 391

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