Home
Class 12
MATHS
The area enclosed (in square units) by t...

The area enclosed (in square units) by the curve `y=x^(4)-x^(2)`, the X-axis and the vertical lines passes through the two minimum points of the curve is

A

`(48sqrt(2))/5`

B

`5/(48sqrt(2))`

C

`7/(60sqrt(2))`

D

`7/(30sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise CRITICAL THINKING|48 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Calculate the area bounded by the curve y=x(3-x)^(2) the x-axis and the ordinates of the maximum and minimum points of the curve.

The area (in square units) bounded by the curve y=x^(3), the x -axis and the ordinates at x=-2 and x=1 is

Show that the area bounded by the curve y=(ln x-c)/(x), the x-axis and the vertical line through the maximum point of the curve is independent of the constant c.

The area between the curve y=2x^(4)-x^(2) , the x-axis, and the ordinates of the two minima of the curve is

The area enclosed by the curve y^(2)=x^(4)(1-x^(2)) is

Area enclosed by the curve y = sin^(2)x , the X-axis and the lines x=0, x=pi//2 is

The area enclosed between the curve y = 1 + x^(2) , the Y-axis and the straight line y = 5 is given by

The area enclosed by the curve c:y=x sqrt(9-x^(2))(x>=0) and the x-axis is

The area in square units bounded by the curves y=x^(3),y=x^(2) and the ordinates x=1, x=2 is

The area enclosed by the curve y^(2)+x^(4)=x^(2) is

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-COMPETITIVE THINKING
  1. Find the area bounded by the parabola y^2 = 4ax and the line y = 2ax.

    Text Solution

    |

  2. Area lying between the curves y^(2)=2x and y=x is

    Text Solution

    |

  3. The area of the region bounded by the curves x=y^(2)-2 and x=y is

    Text Solution

    |

  4. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |

  5. Find the ratio in which the area bounded by the curves y^2=12 xa n dx^...

    Text Solution

    |

  6. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

    Text Solution

    |

  7. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

    Text Solution

    |

  9. The area of the region bounded by the curve y =x^3, its tangent at (1,...

    Text Solution

    |

  10. The area (in sq. units) enclosed between the curves y=x^(2) " and " y...

    Text Solution

    |

  11. Area of the region bounded by y=|x| and y=-|x|+2 is

    Text Solution

    |

  12. The area of the region bounded by the curves y= abs(x-1) and y = 3 -ab...

    Text Solution

    |

  13. The area bounded by curve y=x^(2), y=2/((1+x^(2))) in square units is

    Text Solution

    |

  14. Find the area included between the parabola y =x^2/(4a) and the curve ...

    Text Solution

    |

  15. The area of the region {(x,y):x^(2)+y^(2) le 1 le x+y} , is

    Text Solution

    |

  16. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  17. Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the...

    Text Solution

    |

  18. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

    Text Solution

    |

  19. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  20. The area enclosed (in square units) by the curve y=x^(4)-x^(2), the X-...

    Text Solution

    |