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The order of the differential equation of all circles of given radius a is ______.

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Question

The order of the differential equation of all circles of given radius a is ______.

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MCQ
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Solution

The order of the differential equation of all circles of given radius a is 2.

Explanation:

Let the equation of given family be (x – h)2 + (y – k)2 = a2.

It has two orbitrary constants h and k.

Threrefore, the order of the given differential equation will be 2.

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Chapter 9: Differential Equations - Solved Examples [Page 187]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 15 | Page 187

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