Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2019Morning ShiftMathematicsDifferential EquationsActual

The order of the differential equation of all circles which lie in the first quadrant and touch both the axes is…

Options

  1. ATwo
  2. BThree
  3. COne
  4. DFour

Correct answer

C. One

Step-by-step solution

Equation of the circle touching both axes is x 2 + y 2 - 2 a x - 2 a y + a 2 = 0 Here, number of arbitrary constant is one which is equal to the order of its differential equation.

Practice Differential Equations on Quantrex Academy →

More from Differential Equations

The general solution of the differential equation (x y x ) d y= (y y x -x ) d x is 2025The general solution of the differential equation (x+y) d y=d x is 2025If Ax ^3+ Bxy =4 (A and B are arbitrary constants) is the general solution of the differential equation F(x) d^2 y d x^2 +G(x) d y d x -2 y=0 , then F(1)+G(1)= 2025If y=A t^2+ B t (A,B are parameters) is general solution of the differential equation f(t) y^ (t)+g(t) y^ (t)+h(t) y=0 then 2 f(t)+t^2 h(t)= 2025The general solution of the differential equation (2 x-y)^2 d y-2(2 x-y)^2 d x-2 d x=0 is 2025The general solution of the differential equation x x d y=(x x-y) d x is 2025If a and b are arbitrary constants, then the differential equation corresponding to the family of curves y= (a x+b) is 2025The general solution of the differential equation x y(y+2) d y+ (y^3-1 ) d x=0 is 2025 Full Differential Equations list All MHT CET PYQs