Home
Class 12
MATHS
The equation of the curve which is such ...

The equation of the curve which is such that the portion of the axis of `x` cut off between the origin and tangent at any point is proportional to the ordinate of that point is

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the curve which passes through the point (4, 3) and the gradient of the tengent to the curve at any point on it is equal to the reciprocal of the ordinate of the point.

A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves is-

The equation of the curve in which the portion of the tangent between the coordinate axes is bisected at the point of contact is a/an-

Find the eqution of the curve in which the portion of the tangent between the coordinate axes is bisected at the point of contact.

For the curve y=a1n(x^2-a^2) , show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency.

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

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.

A curve y=f(x) passes through the point P(1,1). The normal to the curve at P is a(y-1)+(x-1)=0. If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, find the equation of the curve.

Find the equation of the curve whose length of the tangent at any point on ot, intercepted between the coordinate axes is bisected by the point of contact.

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. A curve is such that the mid-point of the portion of the tangent inter...

    Text Solution

    |

  2. The equation of a curve passing through (2,7/2) and having gradien...

    Text Solution

    |

  3. The equation of the curve which is such that the portion of the axi...

    Text Solution

    |

  4. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

    Text Solution

    |

  5. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  6. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  7. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  8. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

  9. Which of the following is not the differential equation of family of c...

    Text Solution

    |

  10. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

    Text Solution

    |

  11. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  13. The differential equation of all parabolas each of which has a latu...

    Text Solution

    |

  14. The solution of differential equation xy.dy/(dx)=(x+2)(y+2) is given b...

    Text Solution

    |

  15. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  16. find equation of normal at point (am^2, am^3) to the curve ay^2=x^3

    Text Solution

    |

  17. The equation of a curve passing through (1,0) for which the product...

    Text Solution

    |

  18. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  19. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  20. The solution to the differential equation ylogy+x y^(prime)=0, where ...

    Text Solution

    |