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

The area bounded by the curve `y=x^(2)(x-1)^(2)` with the x - axis is k sq. units. Then the value of 60 k is equal to

A

1

B

2

C

`(1)/(2)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 32

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

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

The area bounded by the curve y=x(x^(2)-1) and x-axis is

If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)/(2) sq. units, then the value of 2k is equal to

If the area bounded by the curve y+x^(2)=8x and the line y=12 is K sq. units, then the vlaue of (3K)/(10) is

" The area bounded by the curve "y=x(x-3)^(2)" and "y=x" is (in sq.units "

If the area bounded by y=3x^(2)-4x+k , the X-axis and x=1, x=3 is 20 sq. units, then the value of k is

The area bounded by the curves y=x^(3)-x and y=x^(2)+x is (In sq, units)

If the area bounded by the curves {(x, y)|x^(2)-y+1 ge 0} and {(x, y)|x+y-3 ge0} is k square units, then the value of 3k is equal to

NTA MOCK TESTS-NTA JEE MOCK TEST 31-MATHEMATICS
  1. The means of two samples of size 40 and 50 were found to be 54 and 63 ...

    Text Solution

    |

  2. If f(tanx)=sin2x: x ne (2n+1)(pi)/(2), n in I then which of the follow...

    Text Solution

    |

  3. The area bounded by the curve y=x^(2)(x-1)^(2) with the x - axis is k ...

    Text Solution

    |

  4. Let O=(0, 0), A=(3, 0), B=(0, -1) and C=(3, 2), then the minimum value...

    Text Solution

    |

  5. If f(x)={{:(2x^(2)+3,,,xge3),(ax^(2)+bx+1,,,xle3):} is differentiable ...

    Text Solution

    |

  6. The sum of the series 2/(1.2)+5/(2.3)2^1+10/(3.4)2^2+17/(4.5)2^3+.... ...

    Text Solution

    |

  7. The number of five digit numbers formed with the digits 0, 1, 2, 3, 4 ...

    Text Solution

    |

  8. Let vecA be a vector parallel to the line of intersection of the plane...

    Text Solution

    |

  9. If y=cos x cos 2x cos 4x cos 8x, then (dy)/(dx)" at "x=(pi)/(2) is

    Text Solution

    |

  10. Let points A(1), A(2) and A(3) lie on the parabola y^(2)=8x. If triang...

    Text Solution

    |

  11. Let I=int(0)^(24pi){sinx}dx then the value of 2I is equal to (where, {...

    Text Solution

    |

  12. The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If ...

    Text Solution

    |

  13. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

    Text Solution

    |

  14. If |(x+y,y+z,z+x),(y+z, z+x,x+y),(z+x,x+y,y+z)|=k|(x,z,y),(y,x,z),(z,y...

    Text Solution

    |

  15. Two circles of radii r1 and r2, are both touching the coordinate axes...

    Text Solution

    |

  16. A is a square matrix and I is an identity matrix of the same order. If...

    Text Solution

    |

  17. The coefficient of x^(6) in the expansion of (1+x+x^(2))^(6) is

    Text Solution

    |

  18. Let inte^(x).x^(2)dx=f(x)e^(x)+C (where, C is the constant of integrat...

    Text Solution

    |

  19. The sum of the roots of the equation |sqrt3cos x-sinx|=2" in "[0, 4pi]...

    Text Solution

    |

  20. If f(x)+2f(1-x)=6x(AA x in R), then the vlaue of (3)/(4)((f(8))/(f'(1)...

    Text Solution

    |