Home
Class 12
MATHS
For the differential equation whose solu...

For the differential equation whose solution is `(x-h)^2+(y-k)^2=a^2` `(a` is a constant), its (a) order is 2 (b) order is 3 (c) degree is 2 (d) degree is 3

A

`[1+((dy)/(dx))^(2)]^(3)=a^(2)(d^(2)y)/(dx^(2))`

B

`[1+((dy)/(dx))^(2)]^(3)=a^(2)((d^(2)y)/(dx^(2)))^(2)`

C

`[1+((dy)/(dx))]^(3)=a^(2)((d^(2)y)/(dx^(2)))^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

The differential equation whose solution is A x^2+B y^2=1 , where A and B are arbitrary constants, is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

The differential equation representing the family of curves y^2=2c(x+sqrt(c)), where c is a positive parameter, is of (A) order 1 (B) order 2 (C) degree 3 (D) degree 4

The order of the differential equation whose general solution is y = c_(1) cos 2x + c_(2) cos^(2) x + c_(3) sin^(2) x + c_(4) is

The degree of the differential equation of the curve (x-a)^(2) + y^(2) =16 will be

STATEMENT-1 : If m and n are respectively order and degree of differential equation , then m and n are mutually independent. STATEMENT-2 : If general solution of a differential equation contains two arbitrary constants, then its order is 2. STATEMENT-3 : The order and degree of differential equation sqrt(1+((dy)/(dx))^(2)) = (x(d^(2)y)/(dx^(2)))^(1//3) are 2 and 2 respectively.

Find the order and degree of the differential equation log_e(1+(d^2y)/dx^2)=x

Write degree of the differential equation (1+(dy)/(dx))^3=((d^2y)/(dx^2))^2 .

The order & the degree of the differential equation whose general solution is, y =c(x-c)^2 , are respectively

The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) is (a) 1 (b) 2 (c) 3 (d) none of these

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. Writhe the order of the differential equation of the family of circ...

    Text Solution

    |

  2. Form the differential equation of the family of circles in the firs...

    Text Solution

    |

  3. For the differential equation whose solution is (x-h)^2+(y-k)^2=a^2 (a...

    Text Solution

    |

  4. The differential equation y(dy)/(dx)+x=C represents

    Text Solution

    |

  5. The differential equation of displacement of all "Simple harmonic moti...

    Text Solution

    |

  6. The differential equation of family of curves whose tangent form an an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |