Home
Class 12
MATHS
At any point P(x,y) of a curve, the slop...

At any point `P(x,y)` of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact `P` to the point `(-4,-3)` Find the equation of the curve given that it passes through the point `(-2, 1)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.5)|16 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.6)|19 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.3)|12 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

At any point (x,y) of a curve,the slope of the tangent is twice the slope of the line segment joining the point of contact to the point Find the equation of the curve given that it passes through quad (-2,1)

A curve passes through the point (-2, 1) and at any point (x, y) of the curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (-4, -3). Find the equation of the curve.

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4,3). The equation of the curve is:

At any point on a curve , the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point.If the curve passes through (0,1), then the equation of the curve is

The slope of the tangent at any point on a curve is lambda times the slope of the line joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.

The slope of the tangent any point on a curve is lambda times the slope of the joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

The slope of the tangent line to the curve x+y=xy at the point (2,2) is

Find the points on the curve y=x^(3) at which the slope of the tangent is equal to the y coordinate of the point.

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-NCERT - FILE (Questions from NCERT Book) (Exercise 9.4)
  1. sec^(2) tany dx + sec^(2)y tan x dy = dy =0

    Text Solution

    |

  2. Find the general solution of the differential equations (e^x+e^(-x))d...

    Text Solution

    |

  3. Find the general solution of the differential equations (dy)/(dx)=(1+...

    Text Solution

    |

  4. y log ydx-xdy=0

    Text Solution

    |

  5. Find the general solution . x^(5)(dy)/(dx)=-y^(5).

    Text Solution

    |

  6. Find the general solution of the differential equation (dy)/(dx) =si...

    Text Solution

    |

  7. Solve the differential equation e^(x) tan y dx + (1-e^(x))sec^(2) y dy...

    Text Solution

    |

  8. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  9. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  10. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  11. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0, 0) and who...

    Text Solution

    |

  13. For the differential equation x y(dy)/(dx)=(x+2)(y+2), find the solu...

    Text Solution

    |

  14. Find the equation of the curve passing through the point (0, -2) gi...

    Text Solution

    |

  15. At any point P(x,y) of a curve, the slope of the tangent is twice the ...

    Text Solution

    |

  16. The volume of spherical balloon being inflated changes at a constan...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per yea...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increas...

    Text Solution

    |

  20. (dy)/(dx)=e^(x+y)

    Text Solution

    |