Home
Class 12
MATHS
The equation of the curve, which does no...

The equation of the curve, which does not pass through (0,0) and having the portion of the tangent included between the co - ordinate axes is bisected at the point of contact, is :

A

a st. line or an ellipse

B

a circle or an ellipse

C

a parabola

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|11 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

Similar Questions

Explore conceptually related problems

The curve that passes through the point (2,3) and has the property that the segment of any tangent to it lying between the co - ordinate axes is bisected by the point of contact is given by :

The equation of the circle passing through (2,0) and (0,4) and having minimum radius is

Equation of a circle which passes through (3, 6) and touches the axes is:

Find the equation of the circle passing through (0,0) and making intercept a and b on the coordinates axes.

Find equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

If the co-ordinates of the middle point of the portion of the line intercepted between the co-ordinate axes is (3, 2), then the equation of the line will be:

Find the equation of the line such that the portion of the line intercepted between the axes is bisected at (3, -2).

Find the equation of the circle passing through (1,0)a n d(0,1) and having the smallest possible radius.

Find the equation of the curve passing through the point (1,1) , given that the slope of the tangent to the curve at any point is (x)/( y)

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Multiple Choice Questions - LEVEL - II
  1. The solution of the differential equation x^2(dy)/(dx)-xy=1+cos""(y)/x...

    Text Solution

    |

  2. The solution of the equation x+y(dy)/(dx)=2y is :

    Text Solution

    |

  3. The differential equation of all circles which pass through origin and...

    Text Solution

    |

  4. The curve for which the slope of the tangent at any point equals the r...

    Text Solution

    |

  5. The slope of the tangent at (x,y) to a curve passing through (1,pi//4)...

    Text Solution

    |

  6. Solution of y dx - x dy = x^2 ydx is :

    Text Solution

    |

  7. Solution of (x+y-1)dx+(2x+3y-3)dy=0 is :

    Text Solution

    |

  8. The equation of the curve, which does not pass through (0,0) and havin...

    Text Solution

    |

  9. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

    Text Solution

    |

  10. If y(t) is solution is (t+1)(dy)/(dx)-ty=1,y(0)=-1 At t=1, the souluti...

    Text Solution

    |

  11. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

    Text Solution

    |

  12. The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

    Text Solution

    |

  13. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

    Text Solution

    |

  14. x" "dy=y" "dx +y^2and y(1) =1 , then y (-3) is equal to :

    Text Solution

    |

  15. The differential equation whose solution is Ax^2+By^2=1, where A and B...

    Text Solution

    |

  16. The differential equation of all circles passing through the origin an...

    Text Solution

    |

  17. The normal to a curve at P (x,y) meets the x - axis at G . If the dist...

    Text Solution

    |

  18. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

    Text Solution

    |

  19. If (x^2+y^2)dy=xy dxand y (1) = 1 . If f(x0)=e, then x0 is equal to :

    Text Solution

    |

  20. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

    Text Solution

    |