Home
Class 12
MATHS
The value of a(a >0) for which the area ...

The value of `a(a >0)` for which the area bounded by the curves `y=x/6+1/(x^2),y=0,x=a ,a n dx=2a` has the least value is__

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise All Questions|674 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y

Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.

The area bounded by the curve y=3/|x| and y+|2-x|=2 is

Find the area bounded by the curve x^2=y ,x^2=-y and y^2=4x-3

Find the area bounded by the curve y=4x(x-1)(x-2) and the x-axis.

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n dx=3.

The area boundede by the curves y=|x|-1and y=-|x|+1 is__

Find the area bounded by the curve y=x(x-1)^(2) , the y-axis and the line y=2.

Find the area bounded by the curve y = cos x between x = 0 and x = 2pi

CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. f(x) is a polynomial of degree 3 passing through the origin having loc...

    Text Solution

    |

  2. int x^2(1-1/x^2)dx =

    Text Solution

    |

  3. The value of a(a >0) for which the area bounded by the curves y=x/6+1/...

    Text Solution

    |

  4. Area bounded by the relation [2x]+[y]=5, x , y >0 is

    Text Solution

    |

  5. -q, and d-s, then the correctly bubbled 4x4 matrix should be as follow...

    Text Solution

    |

  6. If the area of the region {(x , y):0lt=ylt=x^2+1,0lt=ylt=x+1,0lt=xlt=2...

    Text Solution

    |

  7. The area enclosed by f(x)=12+a x-x^2 coordinates axes and the ordinat...

    Text Solution

    |

  8. If the area bounded by the curve f(x)=x^(1/3)(x-1) and the x-axis is A...

    Text Solution

    |

  9. If the area bounded by the curve y=x^2+1 and the tangents to it drawn ...

    Text Solution

    |

  10. If the area enclosed by the curve y=sqrt(x) and x=-sqrt(y) , the circl...

    Text Solution

    |

  11. If S is the sum of possible values of c for which the area of the figu...

    Text Solution

    |

  12. If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x. then...

    Text Solution

    |

  13. A curve is given by y={(sqrt(4-x^2)),0lt=x<1and sqrt((3x)),1lt=xlt=...

    Text Solution

    |

  14. Find the area enclosed by the curves x^2=y , y=x+2 and x-axis

    Text Solution

    |

  15. Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a ...

    Text Solution

    |

  16. Find the area of that part of the circle "x"^2+" y"^2=16 which is ex...

    Text Solution

    |

  17. Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=p...

    Text Solution

    |

  18. Find the area lying in the first quadrant and bounded by the curve y=x...

    Text Solution

    |

  19. If the area enclosed by curve y=f(x)a n dy=x^2+2 between the abscissa ...

    Text Solution

    |

  20. Plot the region in the first quadrant in which points are nearer to th...

    Text Solution

    |