Home
Class 12
MATHS
If a curve passes through the point (1,(...

If a curve passes through the point `(1,(pi)/(4))` and its slope `(dy)/(dx)` at any point (x,y) is given by `(dy)/(dx) = (y)/(x) - cos^(2) ((y)/(x)),` then the equation of the curve is

A

`y = tan^(-1) {log(( e )/(x))}`

B

`y = x tan^(-1) { log ((x)/( e))}`

C

`y = x tan^(-1) {log (( e)/(x))}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|17 Videos

  • DIFFERENTIAL COEFFICIENTS

    BITSAT GUIDE|Exercise BITSAT Archives|17 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos

Similar Questions

Explore conceptually related problems

Equation of the curve passing through the point (4,3) and having slope is (y)/(2) at a point (x,y) on it is

The equation of the curve passing through the point (1,(pi)/(4)) and having a slope of tangent at any point (x,y) as (y)/(x)-cos^(2)((y)/(x)) is

The slope at any point of a curve y=f(x) is given by (dy)/(dx)= 2x and it passes through (1,-1) . The equation of the curve is

The slope of the tangent at (x,y) to a curve passing through (1,(pi)/(4)) is given by (y)/(x)-cos^(2)((y)/(x)), then the equation of the curve is

A curve passes through the point (1,(pi)/(6)). Let the slope of the curve at each point (x,y) be (y)/(x)+sec((y)/(x)),x>0. Then the equation of the curve is

A curve passes through the point (1,(pi)/(6)). Let the slope of the curve at each point (x,y) be (y)/(x)+sec((y)/(x)),xgt0. Then, the equation of the curve is

BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
  1. If a curve passes through the point (1,(pi)/(4)) and its slope (dy)/(d...

    Text Solution

    |

  2. The form of the differential equation of the central conics ax^(2) + b...

    Text Solution

    |

  3. The solution of the differential equation (x+(x^3)/(3!)+(x^5)/(5!)+)/...

    Text Solution

    |

  4. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(...

    Text Solution

    |

  5. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  6. By eliminating the arbitrary constant A and B from y = Ax^(2)+Bx we g...

    Text Solution

    |

  7. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  8. The differential equation of all non-vertical lines in a plane, is

    Text Solution

    |

  9. The solution of dy/dx=(alphax+g)/(by+f) represents a circle, when

    Text Solution

    |

  10. the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(d...

    Text Solution

    |

  11. The solution of the differential equation (dy)/(dx) = (xy + y)/(xy +x)...

    Text Solution

    |

  12. The solution of the differential equation xy^(2) dy - (x^(3) + y^(3)) ...

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

    Text Solution

    |

  14. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

    Text Solution

    |

  15. Which one of the following differential equation represents the system...

    Text Solution

    |

  16. The general solution of the differential equation (2x - y + 1) dx + (...

    Text Solution

    |

  17. The degree of the differential equation y(x) = 1 + (dy)/(dx) + (1)/(1*...

    Text Solution

    |

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

    Text Solution

    |