Home
Class 12
MATHS
Find the curve for which the length of n...

Find the curve for which the length of normal is equal to the radius vector.

A

`y^(2)pmx^(2)=k^(2)`

B

`ypm x=k`

C

`y^(2)=kx`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos
  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

Find the curves for which the length of normal is equal to the radius vector.

The curve for which the length of the normal is equal to the length of the radius vector is/are (a) circles (b) rectangular hyperbola (c) ellipses (d) straight lines

The curve for which the length of the normal is equal to the length of the radius vector is/are (a) circles (b) rectangular hyperbola (c) ellipses (d) straight lines

If the length of the normal for each point on a curve is equal to the radius vector, then the curve (a) is a circle passing through origin (b) is a circle having centre at origin and radius 0 (c) is a circle having centre on x-axis and touching y-axis (iv) is a circle having centre on y-axis and touching x-axis

Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

At any point on the curve 2x^2y^2-x^4=c , the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to (a)Ordinate (b) radius vector (c)x-intercept of tangent (d) sub-tangent

Find the equation of the plane upon which the length of normal from origin is 10 and direction ratios of this normal are 3,2,6

If equation of the curve is y^2=4x then find the slope of normal to the curve

The length of normal at any point to the curve, y=c cosh(x/c) is

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,

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The differential equation of family of curves whose tangent form an an...

    Text Solution

    |

  2. The differential equation of all parabolas whose axis are parallel t...

    Text Solution

    |

  3. Find the curve for which the length of normal is equal to the radius v...

    Text Solution

    |

  4. Differential equation of all parabolas having their axes of symmetry c...

    Text Solution

    |

  5. The equation of a curve passing through (2,7/2) and having gradient...

    Text Solution

    |

  6. The equation of the curves through the point (1, 0) and whose slope...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. A particle moves in a straight line with a velocity given by ( dx) /(...

    Text Solution

    |

  9. If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 then fiind the value of x when...

    Text Solution

    |

  10. Find the equation of a curve passing through origin and satisfying the...

    Text Solution

    |

  11. The slope of the tangent at (x , y) to a curve passing through (1,p...

    Text Solution

    |

  12. If phi (x)=phi '(x) and phi(1)=2, then phi(3) equals

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. The curve for which the slope of the tangent at any point is equal to ...

    Text Solution

    |

  15. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  16. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

    Text Solution

    |

  17. The differential equation of all ellipses centred at the origin is

    Text Solution

    |

  18. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  19. The equation of the curve whose subnormal is constant is

    Text Solution

    |

  20. The degree of the differential equation y(3)^(2//3)+2+3y(2)+y(1)=0, ...

    Text Solution

    |