Home
Class 12
MATHS
The curve with the property that the pro...

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is

A

`x-a In(sqrt(y^(2)-a^(2))+y)=C`

B

`x+a sqrt(a^(2)-y^(2))=C`

C

`(y-a)^(2)=Cx`

D

`ay=tan^(-1)(x+c)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

A curve C has the property that its intial ordinate of any tangent drawn is less the abscissa of the point of tangency by unity. Statement I. Differential equation satisfying tha curve is linear. Statement II. Degree of differential equation is one.

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

The Curve possessing the property that the intercept made by the tangent at any point of the curve on they-axis is equal to square of the abscissa of the point of tangency, is given by

Projection of vector veca on other vector vecb is equal to :

The curves for which the length of the normal is equal to the length of the radius vector is/are

The curve for which the ratio of the length of the segment intercepted by any tangent on the Y-axis to the length of the radius vector is constant (k), is

The equation of the normal to the curve y = sin x at (0,0) is

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. Find the sum of n terms of the AP 6,13,20.....

    Text Solution

    |

  2. If the 5th term of AP is 16 and the common difference is 4. Find the 2...

    Text Solution

    |

  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  4. Differentiate the following w.r.t x e^x + e^(x^3) + e^(x^5)

    Text Solution

    |

  5. A curve is such that the area of the region bounded by the co-ordinate...

    Text Solution

    |

  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  7. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

    Text Solution

    |

  9. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  10. The equation of tangent in slope form to the the parabola y^2 = 4x ...

    Text Solution

    |

  11. A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on the...

    Text Solution

    |

  13. The differential equation corresponding to the family of curves y=e^x ...

    Text Solution

    |

  14. The equation to the orthogonal trajectories of the system of parabolas...

    Text Solution

    |

  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

    Text Solution

    |

  17. A curve passing through (2,3) and satisfying the differential equation...

    Text Solution

    |

  18. Which one of the following curves represents the solution of the initi...

    Text Solution

    |