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

The area bounded by the curve `y={:{(x^(2)","xlt0),(x","xge0):}` and the line `y=4` is

A

`8/3`

B

`(32)/8`

C

`(16)/(3)`

D

`(40)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2012

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve : y={{:(x^2,xlt 0),(x,x ge 0):}+ and the line y=4 is :

The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the line y=4 is:

The area bounded by the curves x+2|y|=1 and x=0 is

The area bounded by the curves y^2=4x and x^2=4y is :

The area bounded by the curves y=xe^x , y=xe^(-x) and the line x=1 is :

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

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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2010-Mathematics
  1. If x=acos^(3)thetaandy=asin^(3)theta",then "(dy)/(dx)=

    Text Solution

    |

  2. If y=tan^(-1)sqrt(x^(2)-1), then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)...

    Text Solution

    |

  3. P is the point of contact of the tangent from the origin to the curve ...

    Text Solution

    |

  4. For the curve 4x^(5)=5y^(4), the ratio of the cube of the suctangent a...

    Text Solution

    |

  5. The set of real values of x for which f(x)=(x)/(Logx) is increasing is

    Text Solution

    |

  6. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  7. Two circles centered at (2,3) and (5,6) intersect each other. If the r...

    Text Solution

    |

  8. Equation of the circle centered at (4,3) touching the circle x^(2)+y^(...

    Text Solution

    |

  9. The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

    Text Solution

    |

  10. The locus of the point of intersection of the tangents drawn at the en...

    Text Solution

    |

  11. The condition for the line y=mx+c to be a normal to the parabola y^(2)...

    Text Solution

    |

  12. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

    Text Solution

    |

  13. The distance of the focua of x^(2)-y^(2)=4 from the directrix which is...

    Text Solution

    |

  14. If f(x)sinx.cosxdx=(1)/(2(b^(2)-a^(2)))logf(x)+c, where c is the const...

    Text Solution

    |

  15. If int(sqrtx)/(x(x+1))dx=ktan^(-1)m,then (k,m) is

    Text Solution

    |

  16. int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

    Text Solution

    |

  17. int(0)^(3)x(1-x)^(3//2)dx=

    Text Solution

    |

  18. The area bounded by the curve y={:{(x^(2)","xlt0),(x","xge0):} and the...

    Text Solution

    |

  19. The order and degree of the differential equation y=(dp)/(dx)x+sqrt(a^...

    Text Solution

    |

  20. The general solution of the differential equation 2x(dy)/(dx)-y=3 is a...

    Text Solution

    |