AP EAMCET · Maths · Differential Equations
If and are the degree and the order respectively of the differential equation of the family of all circles in the plane with radius units, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let the coordinates of the centre of the circle be h,k and radius be r. Then, equation of circle is x-h2+y-k2=52 ..1 Differentiating both sides w.r.t. x, we get 2x-h+2y-ky'=0 ⇒x-h=-y-ky' ...i Again differentiating w.r.t. x, we get 1=-y'2+y-ky''…
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