Home
Class 12
MATHS
Through the point (2,3) ,a straight line...

Through the point (2,3) ,a straight line is drawn making, positive intercept on the coordinate axes, . The area of the triangle thus formed is least when the ratio of the intercepts on the x and y axes is

A

`1:2`

B

`3:1`

C

`2:3`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A straight line through the point (h,k) where hgt0andkgt0 , makes positive intercepts on the coordinate axes . Then the minimum length of line intercepted between the coordinate axes is

The area of the triangle formed by the line x/5+y/4=1 with the coordinate axes is

The area of the triangle formed by the line x//4+y//6=1 with the coordinate axes is

A straight line through the fixed point (3,4) cuts the coordinate axes at A and B. If the area of the triangle formed by the line and the coordinate axes is least then the the ratio of intercepts is …….. And the min area is ……..

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is

The area of the triangle formed by the line passing through the points (3,4),(5,6) with the coordinate axes is

Find the area of the triangle formed by the line 3x-4y+12=0 with the coordinate axes.

If a straight line is passing through the point of intersection of the lines 3x - 4y + 1 = 0, 5x + y - 1 = 0 and making equal non-zero intercepts on the coordinate axes, then the area (in sq. units) of the triangle formed by this line with the coordinate axes, is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The point P in the first quadrant of the ellipse x^2//8 +y^2//18 =1 so...

    Text Solution

    |

  2. A straight line through the point (3,4) in the first quadrant meets th...

    Text Solution

    |

  3. Through the point (2,3) ,a straight line is drawn making, positive int...

    Text Solution

    |

  4. The perimeter of a sector is given. The area is maximum when the angle...

    Text Solution

    |

  5. If the perimeter of a sector of a circle is constant then find the ang...

    Text Solution

    |

  6. Twenty meters of wire is available to fence off a flower bed in the fo...

    Text Solution

    |

  7. A wire of length 20 cm can be bent in the form of a sector then its ma...

    Text Solution

    |

  8. A box is made from a piece of metal sheet 24 cms square by cutting equ...

    Text Solution

    |

  9. An open top box of maximum possible volume from a square piece of tin ...

    Text Solution

    |

  10. From a rectangular sheet of dimensions 30cm times 80cm, four squares o...

    Text Solution

    |

  11. The strength of a beam varies as the product of its breadth b and squ...

    Text Solution

    |

  12. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  13. The radius of right circular cylinder of maximum volume which can be i...

    Text Solution

    |

  14. The maximum volume of the cylinder which can be inscribed in a sphere ...

    Text Solution

    |

  15. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  16. The height and the radius of the base of a cylinder of maximum volume,...

    Text Solution

    |

  17. The dimensions of the greatest cylinder that can be inscribed in a sph...

    Text Solution

    |

  18. Show that when the curved surface of a is right circular cylinder insc...

    Text Solution

    |

  19. A cylindrical, gas container is closed at the top and open bottom. If...

    Text Solution

    |

  20. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |