Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Differential Equations
0 votes

Find the differential equation of system of concentric circles with centre(1,2).

$\begin{array}{1 1}(A)\;(x-1)+(y-2)\large\frac{dy}{dx}=0 \\(B)\;(x-1)-(y-2)\large\frac{dy}{dx}=0 \\ (C)\;(x+1)+(y-2)\large\frac{dy}{dx}=0 \\ (D)\;(x+1)-(y+2)\large\frac{dy}{dx}=0\end{array} $

Can you answer this question?

1 Answer

0 votes
  • Equation of family of circles, with center $(h,k)$ and radius $a$ is $(x-h)^2+(y-k)^2=a^2$
  • If an equation has $'n'$ arbitrary constants, then it differentail equation is of $n^{th}$ order
Given : Concentric circles with center(1,2)
The equation of concentric circles with centre(1,2) is
Now let us differentiate w.r.t x
Dividing throughout by 2,
This is the required equation
answered May 17, 2013 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App