Home
Class 12
MATHS
The area bounded by the curve y=x^(4)-2x...

The area bounded by the curve `y=x^(4)-2x^(3)+x^(2)+3` with x-axis and ordinates corresponding to the minima of y, is

A

`alpha = 0, beta = 1`

B

`alpha = 1, beta = 1//2`

C

`A = 3 (1)/(30)`

D

`a = 3 (2)/(30)`

Text Solution

Verified by Experts

The correct Answer is:
A,C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=(4)/(x^(2)) , x -axis and the ordinates x=1,x=3 is

Area bounded by the curves y=x^(2)-1,x+y=3 is

The area bounded by the curves y^(2)=x^(3) and |y|=2x

The area bounded by the curve y=(x-1)(x-2)(x-3) , x-axis and ordinates x=0,x=3 is :

Find the area bounded by the curve y=x^3-3x^2+2x and the x-axis.

The area bounded by the curve a^(2)y=x^(2)(x+a) and the x-axis is

What is the area bounded by the curve y=4x-x^(2)-3 and the x-axis?

Find the area bounded by the curve 20y=7-10x^2+20x^3-10x^4 , the axis of x and the two ordinates, corresponding to the points of maxima of this function.

FIITJEE-AREA-Solved Problem (Objective)
  1. The area of the region defined by ||x| - |y|| le 1 and x^(2) + y^(2) l...

    Text Solution

    |

  2. The area of bounded by e^(ln(x+1)) ge |y|, |x| le 1 is….

    Text Solution

    |

  3. The area bounded by y = cos^(-1) (Sin x) and y = sin^(-1) (sin x) on t...

    Text Solution

    |

  4. The area bounded by the curves y = {{:(x^(1// In x) , x != 1),(e, x = ...

    Text Solution

    |

  5. The area defined by 1 le |x - 2| + |y + 1| le 2 is

    Text Solution

    |

  6. The area of the region bounded by the curve y = (1)/(1 + (tan x)^(sqrt...

    Text Solution

    |

  7. The area bounded by the curves y = |2 - 2'| and y = x + 3 and the y-ax...

    Text Solution

    |

  8. Area bounded by y^2 = - 4x and its latus rectum is

    Text Solution

    |

  9. The area enclosed by the parabola ay = 3 (a^(2) - x^(2)) and x-axis is

    Text Solution

    |

  10. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

    Text Solution

    |

  11. If A(3/sqrt(2), sqrt(2)), B(-3/sqrt(2), sqrt(2)), C(-3/sqrt(2), -sqrt...

    Text Solution

    |

  12. A line divides an equilateral triangle ABC of side length unity into t...

    Text Solution

    |

  13. A line divides an equilateral triangle ABC of side length unity into t...

    Text Solution

    |

  14. Let f(x) be a differentiable function satisfying the condition f((x)/(...

    Text Solution

    |

  15. Let f be a differentiable function satisfying the condition f ((x)/(y)...

    Text Solution

    |

  16. The area bounded by the curve x^2 = ky,k>0 and the line y=3 is 12 unit...

    Text Solution

    |

  17. The area of the region bounded by the pair of lines y = |x - 1| and y ...

    Text Solution

    |

  18. If the area between the curves y = 2x^(4) - x^(2), the x-axis and the ...

    Text Solution

    |

  19. Let f(x) = minimum (tan x, cot x, 1//sqrt(3)) AA x in [0, pi//2] . Th...

    Text Solution

    |

  20. The function f is such that : f(xy)=f(x)+f(y), x, y gt 0 and f\'(1)=2 ...

    Text Solution

    |