Home
Class 12
MATHS
Find the equation of a curve passing thr...

Find the equation of a curve passing through the point (0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through the point (-2,3) , given that the slope of the tangent to the curve at any point (x, y) is (2 x)/y^2

Find the slope of the tangent to the curve y=(x-2)^2 at x=1

Find the equation of a curve passing through the point (0,-2) given that at any point (x,y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Consider the curve y=x^2-2x+7 Find the slope of the tangent of the curve at x=2 .

Find the slope of the lines passing through the points (0,-2) and (4,3)

Find the equation of a curve passing through the point (2,-2) given that at any point (x, y) on the curve the product of the slope of its tangent and y coordinate of the point is equal to the x - coordinate of the point.

Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinate of the point.

Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent to the curve at the point (1,1).

Consider the curve 2y=3-x^2 Find the slope of the tangent to this curve at (x_1,y_1) .

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. For each of the following differential equations, find a particular so...

    Text Solution

    |

  2. Find the equation of a curve passing through the origin given that the...

    Text Solution

    |

  3. Find the equation of a curve passing through the point (0,2) given tha...

    Text Solution

    |

  4. The Integrating Factor of the differential equation x (dy)/(dx)-y=2 x^...

    Text Solution

    |

  5. The intergrating factor of the differential equation (1 -y^2)(dx)/(dy...

    Text Solution

    |

  6. Verify that the function y=c1 e^(a x) cos b x+c2 e^(a x) sin b x, wher...

    Text Solution

    |

  7. Form the differential equation of the family of circles in the second ...

    Text Solution

    |

  8. Find the particular solution of the differential equation log ((dy)/(d...

    Text Solution

    |

  9. Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y...

    Text Solution

    |

  10. Solve the differential equation (tan ^-1 y-x) d y=(1+y^2) d x

    Text Solution

    |

  11. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  12. Verify that the given fuction (implicit or explicit) is a solution of ...

    Text Solution

    |

  13. Form the differential equation representing the family of curves given...

    Text Solution

    |

  14. Prove that x^2 - y^2 = c(x^2 + y^2)^2 is the general solution of the d...

    Text Solution

    |

  15. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  16. Find the general solution of the differential equation. (dy)/(dx)+sqrt...

    Text Solution

    |

  17. Show that the general solution of the differential equation (dy)/(dx)+...

    Text Solution

    |

  18. Find the equation of the curve passing through the point (0 , pi/4) wh...

    Text Solution

    |

  19. Find the particular solution of the differential equation (1+e^(2 x)) ...

    Text Solution

    |

  20. Solve the differential equation y e^(x/y) d x=(x e^(x/y)+y^2) d y(y ne...

    Text Solution

    |