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TS EAMCET · Maths · Differential Equations

Order of the differential equation of the family of all concentric circles centered at \((h, k)\) is

  1. A \(1\)
  2. B \(2\)
  3. C \(3\)
  4. D \(4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1\)

Step-by-step Solution

Detailed explanation

The equation of the family of all concentric circles centred at \((h, k)\) is \[ (x-h)^2+(y-k)^2=r^2 \] \(h\) and \(k\) are given so, the above equation has only one parameter. \(\therefore\) Order of the differential equation \(=1\)
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