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Order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is two.

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Question

Order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is two.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

Since the equation representing the given family is `x^2/"a"62 + y^2/"b"^2` = 1

Which has two arbitrary constants.

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Chapter 9: Differential Equations - Solved Examples [Page 191]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 23. (i) | Page 191

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