Home
Class 12
MATHS
Show that x/a+y/b=1 touches the curve y=...

Show that `x/a+y/b=1` touches the curve `y=be^(-x//a)` at the point, where the curve crosses the y-axis.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at the point where the curve intersect the axis of y.

The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve intersects the y-axis , passes through the point : (1) (1/2,-1/3) (2) (1/2,1/3) (3) (-1/2,-1/2) (4) (1/2,1/2)

Find the equation of the tangent to the curve y = (x-7)/((x-2)(x-3)) at the point where it cuts the x-axis.

Find the equation of the tangent to the curve y = x^2 - x + 2 where it crosses the y-axis.

Find the equation of the tangent to the curve y = (x-7)/((x-2) (x-3))(y=(x-7)/(x^2-5x+6)) at the point, where it cuts the x=axis.

Show that the tangents to the curve y = 2x^3 - 3 at the points where x = 2 and x = -2 are parallel.

The tangent to the curve y=x-x^(3) at a point p meets the curve again at Q. Prove that one point of trisection of PQ lies on the Y-axis. Find the locus of the other points of trisection.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that x/a+y/b=1 touches the curve y=be^(-x//a) at the point, where...

    Text Solution

    |

  2. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  3. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  5. The radius of a soap-bubble is increasing at the rate of 0.2cm/s. Find...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The radius of a circle is increasing uniformly at the rate of 4 cm per...

    Text Solution

    |

  8. If the area of a circle increases uniformly, then show that the rate o...

    Text Solution

    |

  9. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  10. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  11. The radius of spherical balloon is increasing at the rate 5 cm per sec...

    Text Solution

    |

  12. The radius of a spherical soap bubble is increasing at the rate of 0.3...

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  14. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  15. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  16. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

    Text Solution

    |

  17. The volume of a cube is increasing at the rate of 7 cubic metre per se...

    Text Solution

    |

  18. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

    Text Solution

    |

  19. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

    Text Solution

    |

  20. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

    Text Solution

    |

  21. The contentment obtained after eating X-units of a new dish at a trial...

    Text Solution

    |