Home
Class 12
MATHS
Find the curve for which the intercept c...

Find the curve for which the intercept cut off by a tangent on x-axis is equal to four times the ordinate of the point of contact.

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

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

Find the equation of all possible curves such that length of intercept made by any tangent on x-axis is equal to the square of X-coordinate of the point of tangency. Given that the curve passes through (2,1)

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

The curve for which the slope of the tangent at any point is equal to the ration of the abcissa to the ordinate of the point is

Show that equation to the curve such that the y-intercept cut off by the tangent at an arbitrary point is proportional to the square of the ordinate of the point of tangency is of the form a/x+b/y=1 .

Find the intercepts cut off by the plane 2x + y- z = 5 .

The Curve possessing the property that the intercept made by the tangent at any point of the curve on they-axis is equal to square of the abscissa of the point of tangency, is given by

The curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is

The x intercept of the tangent to a curve f(x,y) = 0 is equal to the ordinate of the point of contact. Then the value of (d^(2)x)/(dy^(2)) at the point (1,1) on the curve is "_____".

Find the curve for which area of triangle formed by x-axis, tangent drawn at any point on the curve and radius vector of point of tangency is constant, equal to a^2

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. A curve passes through the point (3, -4) and the slope of the tangen...

    Text Solution

    |

  2. Find dy/dx if y-x+x^2=0

    Text Solution

    |

  3. Find the curve for which the intercept cut off by a tangent on x-ax...

    Text Solution

    |

  4. Show that the equation of the curve whose slope at any point is equa...

    Text Solution

    |

  5. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

    Text Solution

    |

  6. Find the equation of the curve such that the portion of the x-axis c...

    Text Solution

    |

  7. Find the equation of the curve which passes through the point (3,-4)...

    Text Solution

    |

  8. Find the equation of the cure which passes through the origin and h...

    Text Solution

    |

  9. Find the equation of a curve passing through the point (0, 1). If t...

    Text Solution

    |

  10. Find the equation of the curve such that the portion of the x-axis ...

    Text Solution

    |

  11. The rate of increase of the bacteria in a culture is proportional to t...

    Text Solution

    |

  12. Show that the line y= 2x -4 is a tangent to the hyperbola x^2/16-y^2/...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the equation of a curve passing through the point (0, 1) if the s...

    Text Solution

    |

  15. The slope of a curve at each of its points is equal to the square of t...

    Text Solution

    |

  16. What is differential equation and order and degree of a differential e...

    Text Solution

    |

  17. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  18. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  19. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  20. Write the differential equation representing the family of straight...

    Text Solution

    |