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

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 `(-4,-3)`. Find the equation of the curve, given that it passes through `(-2,1)`.

Text Solution

Verified by Experts

The correct Answer is:
`(x + 4)^(2) = y + 3`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent line of a curve is given by 2x^(3)+4x^(2)-3x+2 . Find the equation of the curve if it passes through (0,2).

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.

Find the slope of a line joining the given points (-6,1) and (-3,2)

Find the slopes of the tangent lines to the graph of x^2 + y^2=4 at the points corresponding to x=1 .

Find the slope of the line passing through the given two point A(-1.4, -3.7), B(-2.4, 1.3)

Find the equation of the lines passing through the point (1,1) with slope 3

Find the equation of the line passing through the point (-2, 3) with slope - 4.

NCERT TAMIL-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. The solution of sec^(2)x tany dx+sec^(2)y tanx dy=0 is

    Text Solution

    |

  2. For each of the differential equations in (e^(x)+e^(-x))dy-(e^(x)-e^...

    Text Solution

    |

  3. (dy)/(dx) = (1 + x^(2))(1 + y^(2))

    Text Solution

    |

  4. Differential equation y log y dx - x dy = 0

    Text Solution

    |

  5. Differential equation x^(5)(dy)/(dx) = - y^(5)

    Text Solution

    |

  6. (dy)/(dx) = sin^(-1)x

    Text Solution

    |

  7. e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

    Text Solution

    |

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

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 2 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx) = e^(x + y...

    Text Solution

    |