Home
Class 12
MATHS
The foci of the curve which satisfies th...

The foci of the curve which satisfies the equation `(1+y^(2))dx - xy dy = 0` and passes through the point (1, 0) are

A

`(sqrt(2), 0)`

B

`(0, sqrt(2))`

C

`(sqrt(-2), 0)`

D

`(0, -sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - D (Linked Comprehension Type Questions))|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - E (Assertion - Reason Type Questions)|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|40 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

The curve satisfying the equation (x^(2)-y^(2))dx+2xydy=0 and passing through the point (1,1) is

The equation of the curve satisfying the eqution (xy-x^(2)) (dy)/(dx) = y^(2) and passing through the point (-1,1) is

The equation of the curve satisfying the equation ( 1 + y^2) dx + ( x-e^(-tan^(-1)y))dy=0 and passing through origin is

Let the curve y = f (x) satisfies the equation (dy)/(dx)=1-1/x^2 and passes through the point (2,7/2) then the value of f(1) is

AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)
  1. The foci of the curve which satisfies the equation (1+y^(2))dx - xy dy...

    Text Solution

    |

  2. The general solution of the equation, x((dy)/(dx)) = y ln (y/x) is

    Text Solution

    |

  3. The equation of the curve satisfying the differential equation y((d...

    Text Solution

    |

  4. The graph of the function y = f(x) passing through the point (0, 1) an...

    Text Solution

    |

  5. Orthogonal trajectories of the system of curves ((dy)/(dx))^(2) = (a)/...

    Text Solution

    |

  6. A curve has the property that area of triangle formed by the x-axis, t...

    Text Solution

    |

  7. The tangent at any point P of a curve C meets the x-axis at Q whose ab...

    Text Solution

    |

  8. Consider a curved mirror y = f(x) passing through (8, 6) having the pr...

    Text Solution

    |

  9. The differential equation representing all possible curves that cut ea...

    Text Solution

    |

  10. Suppose that a mothball loses volume by evaporation at a rate propo...

    Text Solution

    |

  11. Let x(1-x)\ dy/dx = x-y

    Text Solution

    |

  12. Let a curve passes through (3, 2) and satisfied the differential equat...

    Text Solution

    |

  13. A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^2)/(x^2y...

    Text Solution

    |

  14. Tangent is drawn at any point P of a curve which passes through (1, 1)...

    Text Solution

    |

  15. y=c1 x+c2 sin(2x+c3) (C1, C2, C3 are arbitrary constants)

    Text Solution

    |

  16. Which of the following statements is/are true ?

    Text Solution

    |

  17. A curve passes through (1,0) and satisfies the differential equation (...

    Text Solution

    |