Home
Class 12
MATHS
Let (h , k) be a fixed point, where h >0...

Let `(h , k)` be a fixed point, where `h >0,k > 0.` A straight line passing through this point cuts the positive direction of the coordinate axes at the point `Pa n dQ` . Find the minimum area of triangle `O P Q ,O` being the origin.

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos
  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos
  • Miscellaneous Exercises

    A DAS GUPTA|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

Let (h,k) be a fixed point,where h>0,k>0. A straight line passing through this point cuts the positive direction of the coordinate axes at the point P and Q. Find the minimum area of triangle OPQ,O being the origin.

A straight line passing through the point (87, 33) cuts the positive direction of the coordinate axes at the point P and Q. If Q is the origin then the minimum area of the triangle OPQ is.

A straight line L with negative slope passes through the point (8,2) and cuts the positive coordinate axes at the points P and Q .as L varies, the absolute minimum value of (OP+OQ)/2 O is origin is

Find the equation of the straight line which passes through the point (-3,8) and cuts off positive intercepts on the coordinate axes whose sum is 7 .

A straight line passes through the fixed point (2,2) .The sum of the reciprocals of it's intercepts on the coordinate axes is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q.If O is the origin and the rectangle OPRQ is completed then the locus of R is

A straight line through the point (h,k) where h>0 and k>0, makes positive intercepts on the coordinate axes.Then the minimum length of line intercepted between the coordinate axes is

A straight line L.with negative slope passes through the point (8,2) and cuts the positive coordinate axes at points P and Q, then the correct statement(s) among the following is/are (O is origin)

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. The parametric equations of the curve are x=2t(t^2+3)-3t^2, y=2t(t^2+3...

    Text Solution

    |

  2. A function is defined parametrically as follows :x=t^5-5t^3-20 t+7y=4t...

    Text Solution

    |

  3. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

    Text Solution

    |

  4. A 12-cm-long wire is bent to form a triangle with one of the angles as...

    Text Solution

    |

  5. The largest area of a rectangle which has one side on the x-axis and t...

    Text Solution

    |

  6. Three sides of a trapezium are each equal to k cm. Find the greatest p...

    Text Solution

    |

  7. A statue 4 meters high sits on a column 5.6 meters high . How far f...

    Text Solution

    |

  8. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  9. A point P is given on the circumference of a circle of radius rdot Cho...

    Text Solution

    |

  10. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

  11. Find the point (alpha,)beta on the ellipse 4x^2+3y^2=12 , in the first...

    Text Solution

    |

  12. Find the maximum area of an isosceles triangle inscribed in the ellip...

    Text Solution

    |

  13. Prove that the minimum length of the intercept made by the axes on the...

    Text Solution

    |

  14. Show that semi-vertical angle of right circular cone of given surface...

    Text Solution

    |

  15. Prove that a conical tent of given capacity will require the least ...

    Text Solution

    |

  16. It is desired to construct a cylindrical vessel of capacity 500 cu m, ...

    Text Solution

    |

  17. A manufacturer plans to construct a cylindrical can to hold one cu m o...

    Text Solution

    |

  18. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

    Text Solution

    |

  19. A box without lid having maximum volume is made out of square metal sh...

    Text Solution

    |

  20. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |