Home
Class 12
MATHS
The area bounded by the X-axis, the cure...

The area bounded by the X-axis, the cure y = f(x) and the lines x = 1 and x = b is equal to `sqrt(b^(2)+1)-sqrt(2)` for all `b gt 1` then f(x) is

A

`sqrt(x^(2)+1)`

B

`sqrt(x+1)`

C

`(x)/(sqrt(x^(2)+1))`

D

`(x^(2))/(sqrt(x^(2)+1))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AREAS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|49 Videos

  • AREAS

    AAKASH SERIES|Exercise Solved Examples|9 Videos

  • AREAS

    AAKASH SERIES|Exercise EXERCISE - I|20 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=(1)/(sqrt(x)) and the lines x = 4 and x = 9 is

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

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

The area bounded by y=1-|x| and X-axis is

Find the area bounded by the parabola y=x^(2), the x -axis and the lines x=-1, x=2 .

The area bounded by the curves y=sqrt(x),2y-x+3=0 , x-axis and lying in the first quadrant is

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x) , x-axis and the ordinates x=(pi)/(4) and x = bet gt (pi)/(4) is beta sin beta +(pi)/(4) cos beta +sqrt(2) beta then f((pi)/(2))=

The area bounded by (|x|)/(a)+(|y|)/(b)=1 , where a gt 0 and b gt 0 is

AAKASH SERIES-AREAS-EXERCISE - II
  1. If the regions A and B are given by A={(x,y)// : y gt x}B={(x,y):y lt ...

    Text Solution

    |

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

    Text Solution

    |

  3. Let A(1) be the area of the parabola y^(2)=4ax lying between vertex an...

    Text Solution

    |

  4. The area of the figure bounded by the curves y^(2)=2x+1andx-y-1=0 is

    Text Solution

    |

  5. Statement-I: The sine and cosine curves intersect infinitely many tmes...

    Text Solution

    |

  6. Statement-I: The area bounded by x=2 cos theta,y=3sin theta is 36pi sq...

    Text Solution

    |

  7. A) Area of the figure bounded by y^(2)=9x and y=3x B) Area bounded b...

    Text Solution

    |

  8. A) Area bounded by sqrt(x)+sqrt(y)=2 and coordinate axes B) Area bou...

    Text Solution

    |

  9. Assertion (A) : The area bounded by y^(2)=8x and x^(2)=8y is (64)/(3) ...

    Text Solution

    |

  10. The area bounded by the curves y=sqrt(x),2y-x+3=0, x-axis and lying in...

    Text Solution

    |

  11. The area bounded by the curves x=-2y^(2) and x=1-3y^(2) is (in Sq. uni...

    Text Solution

    |

  12. The area bounded by the curve y=(1)/(sqrt(x)) and the lines x = 4 and ...

    Text Solution

    |

  13. The area under the curve y=sin2x+cos 2x between the ordinates x = 0, x...

    Text Solution

    |

  14. The area between y=sinx, y=cos x and Y-axis is (in first quadrant)

    Text Solution

    |

  15. The area (in square units) of the region enclosed by the two circles x...

    Text Solution

    |

  16. The area bounded by the curve y=(x-1)(x-2)(x-3) and X-axis lying betwe...

    Text Solution

    |

  17. The area bounded by the curve y=f(x) the coordinate axes and the line ...

    Text Solution

    |

  18. The area bounded by the X-axis, the cure y = f(x) and the lines x = 1 ...

    Text Solution

    |

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

    Text Solution

    |

  20. The area of the region bounded by the curve y=tanx tangent drawn to th...

    Text Solution

    |