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

Find the equation of a curve passing through the point `(1, 1)`, given that the segment of any tangent drawn to the curve between the point of tangency and the y-axis is bisected at the x-axis.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

The equation of a curve which passes through the point (3, 1), such the segment of any tangent between the point of tangency and the x-axis is bisected at its point of intersection with y-axis, is :

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 (2x)/(y^2) .

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 (2x)/(y^2) .

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

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x ,y)i s(y-1)/(x^2+x)dot

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.

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.

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 coordinates of the point.

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 coordinates of the point.

Find the equation of the curve through the point (1,0), if the slope of the tangent to the curve at any point (x,y) is (y-1)/(x^(2)+x)

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. If the tangent at any point P of a curve meets the axis of XinTdot fin...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the equation of a curve passing through the point (1, 1), given t...

    Text Solution

    |

  4. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

    Text Solution

    |

  5. Solve the following differential equations: (dy)/(dx)-1=e^(x-y)

    Text Solution

    |

  6. Solve: (x^3-3x y^2)dx=(y^3-3x^2y)dydot

    Text Solution

    |

  7. Solve: x^2 ydx=(x^ 3+y ^3)dy

    Text Solution

    |

  8. Solve the following differential equations: (x+y)^2(dy)/(dx)=1

    Text Solution

    |

  9. Solve the following differential equations: (dy)/(dx)=((x-y)+3)/(2(x-y...

    Text Solution

    |

  10. Solve the following differential equations: (x+y+1)(dy)/(dx)=1

    Text Solution

    |

  11. Solve the following differential equations: (x+y)(dx-dy)=dx+dy

    Text Solution

    |

  12. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

    Text Solution

    |

  13. Solve: x(dy)/(dx)=y-xtan(y/x)dot

    Text Solution

    |

  14. A thermometer reading 80^@F is taken outside. Five minutes later the t...

    Text Solution

    |

  15. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

    Text Solution

    |

  16. If is given that radium decomposes at a rate proportional to the am...

    Text Solution

    |

  17. A radioactive substance disintegrates at as rate proportional to th...

    Text Solution

    |

  18. If is known that, if the interest is compounded continuously, the pr...

    Text Solution

    |

  19. It given that the rate at which some bacteria multiply is proportio...

    Text Solution

    |

  20. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |