Home
Class 12
MATHS
If the area bounded by y=3x^(2)-4x+k, th...

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

A

2

B

3

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Consider f(x)= minimum (x+2, sqrt(4-x)), AA x le 4 . If the area bounded by y=f(x) and the x - axis is (22)/(k) square units, then the value of k 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 y=x, y=sinx and x=(pi)/(2) is ((pi^(2))/(k)-1) sq. units then the value of k 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^(2)(x-1)^(2) with the x - axis is k sq. units. Then the value of 60 k is equal to

The area bounded by y+x^(2)le 4x and y ge3 is k sq. units, then 3k is equal to

If the area bounded by y = x^(2) and x = y^(2) is (k)/(15) sq. units , then k is ________

If the area bounded by the curves x^(2)+y le 2 and y ge x is (k)/(2) sq. units, then 2k is equal to

The area bounded by y=x^(2)-1 ,x- axis and with ordinates x=2,x=4 is ( in square units)

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. The ratio of the areas between the curves y=cos x and y=cos 2x and x-...

    Text Solution

    |

  2. The area of the region bounded by the curve xy-3x-2y- 10=0, X-axis and...

    Text Solution

    |

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

    Text Solution

    |

  4. Area between the curve y=4+3x-x^(2) and x-axis in square units , is

    Text Solution

    |

  5. The area of the region bounded by x=y^(2)-y and Y-axis is

    Text Solution

    |

  6. The area bounded by the parabola y = 4x - x^(2) and X-axis is

    Text Solution

    |

  7. The area bounded by the curve y=f(x), X-axis and ordinates x=1 and x=b...

    Text Solution

    |

  8. Area enclosed between the curve y^2(2a-x)=x^3 and line x=2a above X-ax...

    Text Solution

    |

  9. Area bounded by the parabola y^(2)=2x and the ordinates x=1, x=4 is

    Text Solution

    |

  10. The area bounded by the curve y^(2)=8x and the line x=2 is

    Text Solution

    |

  11. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

    Text Solution

    |

  12. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

    Text Solution

    |

  13. The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

    Text Solution

    |

  14. The area of the region bounded by the X-axis and the curves defined by...

    Text Solution

    |

  15. The area of the region bounded by the curve y=cosx, X-axis and the lin...

    Text Solution

    |

  16. Find the area of the region bounded by the curve y = sin x ...

    Text Solution

    |

  17. The area of smaller part between the circle x^(2)+y^(2)=4 and the line...

    Text Solution

    |

  18. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

    Text Solution

    |

  19. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  20. Find the area bounded by the curve y=x|x|, x-axis and ordinates x=-1 a...

    Text Solution

    |