Home
Class 12
MATHS
The family of curves in which the sub-ta...

The family of curves in which the sub-tangent at any point to any curve is double the abscissa is given by

A

`x=cy^(2)`

B

`y=cx^(2)`

C

`x^(2)=cy^(2)`

D

`y^(2)=cy^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    SIA PUBLICATION|Exercise PROBLEMS|42 Videos
  • DIFFERENTIATION

    SIA PUBLICATION|Exercise Problems|50 Videos

Similar Questions

Explore conceptually related problems

The length of the subtangent at any point (x_1,y_1) on the curve y=5^x is

The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of the tangent and the subtangent at any point varies as the product of the coordinates of the point.

Show that the area of the triangle formed by the tangent at any point on the curve xy=c, (c ne 0), with the coordinate axes is constant.

The equation of curve passing through (1,3) whose slope at any point (x,y) on it is y//x^(2) is given by

SIA PUBLICATION-DIFFERENTIAL EQUATIONS-Problems
  1. If dx+dy=(x+y)(dx-dy), then log(x+y) is equal to

    Text Solution

    |

  2. If x^(2)y-x^(3)(dy)/(dx)=y^(4)cosx then x^(3)y^(-3) is equal to

    Text Solution

    |

  3. Which of the following statement is correct ? Statement I if dy+2xyd...

    Text Solution

    |

  4. If (dy)/(dx)=(y+xtan.(y)/(x))/(x), then sin.(y)/(x) is equal to

    Text Solution

    |

  5. Integrating factor of (x+2y^(3))(dy)/(dx)=y^(2) is

    Text Solution

    |

  6. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

    Text Solution

    |

  7. Assertion (A) Integrating factor of (dy)/(dx)+y=x^(2) is e^(x). Reaso...

    Text Solution

    |

  8. The differential equation of the family of parabola with focus at the ...

    Text Solution

    |

  9. Solution of (dy)/(dx)=(xlogx^(2)+x)/(siny+ycosy) is

    Text Solution

    |

  10. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is

    Text Solution

    |

  11. Order of the differential equation of the family of all concentric cir...

    Text Solution

    |

  12. The solution of (dy)/(dx)+(1)/(3)y=1 is

    Text Solution

    |

  13. y+x^(2)=(dy)/(dx) has the solution

    Text Solution

    |

  14. The solution of (dy)/(dx)=((x)/(y))^(-1//3) is

    Text Solution

    |

  15. The solution of xdx+ydy=x^(2)ydy-xy^(2)dx is

    Text Solution

    |

  16. The solution of x^(2)+y^(2)(dy)/(dx)=4 is

    Text Solution

    |

  17. The solution of (dy)/(dx)+y=e^(x) is

    Text Solution

    |

  18. If y=Acosnx+Bsinnx, then y(2)+n^(2)y is equal to

    Text Solution

    |

  19. The family of curves in which the sub-tangent at any point to any curv...

    Text Solution

    |

  20. If c is a parameter, then the differential equation whose solution is ...

    Text Solution

    |