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The differential equation representing the family of circles x2 + (y – a)2 = a2 will be of order two. - Mathematics

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Question

The differential equation representing the family of circles x2 + (y – a)2 = a2 will be of order two.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

We know that the order of the differential equation is equal to the number of arbitrary constants.

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Chapter 9: Differential Equations - Exercise [Page 203]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 9 Differential Equations
Exercise | Q 77.(vi) | Page 203

RELATED QUESTIONS

Which of the following differential equation has y = x as one of its particular solution?

A. `(d^2y)/(dx^2) - x^2 (dy)/(dx) + xy = x`

B. `(d^2y)/(dx^2) + x dy/dx + xy = x`

C. `(d^2y)/(dx^2) - x^2 dy/dx + xy = 0`

D. `(d^2y)/(dx^2) + x dy/dx + xy = 0`

 

 

 


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