Home
Class 12
MATHS
Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 a...

Suppose `g(x)=2x+1` and `h(x)=4x^(2)+4x+5` and `h(x)=(fog)(x)`. The area enclosed by the graph of the function `y=f(x)` and the pair of tangents drawn to it from the origin, is

A

`8//3`

B

`16//3`

C

`32//3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|20 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

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

The area (in sq. units) enclosed by the graphs of |x+y|=2 and |x|=1 is

Suppose f(x)=x^(2)+2x+3 and g(x)=e^(x) then find fog(x) and gof(x)

Combined equation to the pair of tangents drawn from the origin to circle x^(2)+y^(2)+4x+6y+9=0 is

Combined equation to the pair of tangents drawn from the origin to the circle x^(2)+y^(2)+4x+6y+9=0 is

Draw a graph of the function f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1] and find the ara enclosed between the graph of the function and the x-axis varies from 0 to 1.

If f(x)=4x^(2) and g(x)=x^(1/2) then find gof and fog.

If f(x) = 4x^2 and g(x) = x^(1/2) then find gof and fog

If f(x) = 3x + 6 ,g(x) = 4x + k and fog(x) = gof(x) then k …..

If f(x)=4x-5,g(x)=x^(2) and h(x)=(1)/(x) , then f(g(h(x))) is :

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
  1. If the area bounded by the corve y=x^(2)+1, y=x and the pair of lines ...

    Text Solution

    |

  2. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

    Text Solution

    |

  3. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

    Text Solution

    |

  4. 3 point O(0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2...

    Text Solution

    |

  5. Area enclosed by the graph of the function y= In^2x-1 lying in the 4...

    Text Solution

    |

  6. The area bounded by y = 2-|2-x| and y=3/|x| is

    Text Solution

    |

  7. Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 and h(x)=(fog)(x). The area enc...

    Text Solution

    |

  8. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

    Text Solution

    |

  9. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

    Text Solution

    |

  10. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

    Text Solution

    |

  11. The area bounded by the curve y=xe^(-x);xy=0and x=c where c is the x-c...

    Text Solution

    |

  12. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

    Text Solution

    |

  13. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

    Text Solution

    |

  14. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

    Text Solution

    |

  15. If the area bounded between X-axis and the graph of y=6x-3x^2 between ...

    Text Solution

    |

  16. Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at poin...

    Text Solution

    |

  17. If f(x)=x-1 and g(x)=|f|(x)|-2|, then the area bounded by y=g(x) and t...

    Text Solution

    |

  18. Let S = {(x,y): (y(3x-1))/(x(3x-2))<0}, S'= {(x,y) in AxxB: -1 leqAleq...

    Text Solution

    |

  19. The area of the region bounded between the curves y=e||x|In|x||,x^2+y...

    Text Solution

    |

  20. A point P lying inside the curve y = sqrt(2ax-x^2) is moving such that...

    Text Solution

    |