Home
Class 12
MATHS
The curve amongst the family of curves,...

The curve amongst the family of curves, represented by the differential equation `(x^2-y^2)dx+2xydy=0` which passes through (1,1) is

A

a circle with centre on the y- axis

B

an ellipse with major axis along the y - axis

C

a circle with centre on the x- axis

D

A hy perbola with transverse axis along the x-axis

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

The family y=Ax+A^(3) of curves is represents by differential equation of degree

The family y=Ax+A^(3) of curves is represents by differential equation of degree

The equation of the curve satisfying the differential equation x^(2)dy=(2-y)dx and passing through P(1, 4) is

The equation of the curve satisfying the differential equation y(x+y^3)dx=x(y^3-x)dy and passing through the point (1,1) is

Find the constant of intergration by the general solution of the differential equation (2x^(2)y-2y^(4))dx+(2x^(3)+3xy^(3))dy=0 if curve passes through (1,1).

In curve which satisfies the differential equation (x^2-y^2)dx+2xy\ dy=0 passes through (1,1) then curve is (a) a circle with centre on x-axis (b) a circle with centre on y-axis (c) a hyperbola with transverse axis as x-axis (d) an ellipse with major axis as y-axis

The curve satisfying the differential equation (dx)/(dy) = (x + 2yx^2)/(y-2x^3) and passing through (1, 0) is given by

The curve represented by the differential equation (x^2+y^2+1)dx-2xydy=0 satisfying y(1)=1 is (A) x^2-y^2+x-1=0 (B) (x-1)^2+(y-2)^2=1 (C) a hyperbola (D) a circle

Let a curve passes through (3, 2) and satisfied the differential equation (x-1) dx + 4(y -2) dy = 0

The equation of the curve satisfying the differential equation y^2 (x^2 + 1) = 2xy passing through the point (0,1) and having slope of tangnet at x = 0 as 3, is (Here y=(dy)/(dx)andy_2=(d^2y)/(dx^2))

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE MAIN (ARCHIVE )
  1. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  2. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

    Text Solution

    |

  3. If y = y(x) is the solution of the differential equation, x dy/dx+2y=x...

    Text Solution

    |

  4. Let f : [0, 1]toR be such that f(xy)=f(x)xxf(y) for all x, y in [0,1]"...

    Text Solution

    |

  5. If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "...

    Text Solution

    |

  6. Let f be differentiable function such that f'(x)=7-3/4(f(x))/x,(xg...

    Text Solution

    |

  7. The curve amongst the family of curves, represented by the differenti...

    Text Solution

    |

  8. The solution of the differential equation dy/dx=(x-y)^2," when " y(1)=...

    Text Solution

    |

  9. If y(x) is the solution of the differential equation ( dy )/( dx...

    Text Solution

    |

  10. If a curve passes through the point (1, -2) and has slope of the tange...

    Text Solution

    |

  11. Let y = y(x) be the solution of the differential equation x dy/dx+y=xl...

    Text Solution

    |

  12. Let y=y(x)be the solution of the differential equation, (x^(2)+1)^(2)...

    Text Solution

    |

  13. Given that the slope of the tangent to a curve y = f(x) at an...

    Text Solution

    |

  14. If cos x (dy)/(dx) - y sin x = 6x, (0 lt x lt (pi)/(2)) and y ((pi)/(3...

    Text Solution

    |

  15. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  16. Let y=y(x) be the solution of the differential equation, dy/dx+y tan...

    Text Solution

    |

  17. If y=y(x) is the solution of the differential equation (dy)/(dx) =(tan...

    Text Solution

    |

  18. Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y...

    Text Solution

    |

  19. The general solution of the differential equation (y^(2)-x^(3))dx-xyd...

    Text Solution

    |

  20. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |