Home
Class 11
MATHS
A straight line through the point (3,4) ...

A straight line through the point (3,4) in the first quadrant meets the axes at A and B .
The minimum area of the triangle OAB is

A

42

B

64

C

48

D

24

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

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 line passing through (3,4) meets the axes bar(OX) and bar(OY) at A and B respectively. The minimum area of triangle OAB in square units is

A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A. Its equation is

A straight line through the point (2, 2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is

A triangle of area 24 sq. units is formed by a straight line with the coordinate axes in the first quadrant. Find the equation of the straight line, if it passes through (3,4).

The equation of the line through (3,4) which cuts from the first quadrant a triangle of minimum area is

Find the equation of a straight line passing through the point P(3,4) such that the portion between the axes is divided by P in the ratio 2:3.

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  2. An open recangular tank with a square base and 32 c.c of capacity has ...

    Text Solution

    |

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

    Text Solution

    |

  4. An open tank is to be constructed with a square base and vertical side...

    Text Solution

    |

  5. A bell tent consists of a conical portion above a cylinder portion nea...

    Text Solution

    |

  6. A rectangle is inscribed in a equilaternal triangle of side length 2a ...

    Text Solution

    |

  7. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

    Text Solution

    |

  8. The laregest area of a trapezium inscibed in a semi - circle of radius...

    Text Solution

    |

  9. In a DeltaABC, if angleB=90^(@) and a+b=4 and are of triangle is maxi...

    Text Solution

    |

  10. The maximum area of the rectangle whose sides pass through the vertic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The least intercept made by the coordinate axes on a tangent to the el...

    Text Solution

    |

  14. A rod AB os length 10 cms slides between two perpendicular lines OX ,O...

    Text Solution

    |

  15. The maximum distance of the the normal to the ellipse (x^(2))/(9)+(y^...

    Text Solution

    |

  16. The area of the rectangle of maximum area inscribed in the ellipse (x^...

    Text Solution

    |

  17. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  18. Let 'P' be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  19. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  20. The minimum distance of a point on the curve y=x^(2)-4 from the origin...

    Text Solution

    |