Home
Class 12
MATHS
Let R41QEESf(x): RvecR^+ is an invertibl...

Let R41QEES`f(x): RvecR^+` is an invertible function such that `f^(prime)(x)>0a n df^(x)>0AAx in [1,5]dot` If `f(1)=1` and `f(5)=5` and area under the curve `y=f(x)` on x-axis from `x=1tox=5i s8` sq. units, then area bounded by `y=f^(-1)(x)` on x-axis from `x=1tox=5` is `8` b. `12` c. `16` d. `20`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x): R^+>R^+ is an invertible function such that f'(x)>0 and f''(x)>0AAx in [1,5] If f(1)=1 and f(5)=5 and area under the curve y=f(x) on x-axis from x=1 to x=5 is 8 sq. units, then area bounded by y=f^(-1)(x) on x-axis from x=1tox=5 is a. 8 b. 12 c. 16 d. 20

If F:R rarr R given by f(x)=x^(3)+5 is an invertible function,than f^(-1)(x) is

Area bounded by the curve y=(x-1) (x-5) and the X-axis is

Let f(x)= minimum (x+1,sqrt(1-x) for all x<=1 then the area bounded by y=f(x) and the x -axis,is

The area bounded by the curve y=f(x), the x -axis and x=1 and x=c is (c-1)sin(3c+4) Then f(x) is

Let f(x) = minimum (x+1, sqrt(1-x))" for all "x le 1. Then the area bounded by y=f(x) and the x-"axis" is

Let f(x) be continuous function such that f(0)=1,f(x)-f((x)/(7))=(x)/(7)AA x in R. The area bounded by the curve y=f(x) and the coordinate axes is

Let f:A rarr B be an invertible function.If f(x)=2x^(3)+3x^(2)+x-1, then f^(-1)(5)=

Let f(x) be a differentiable function on x in R such that f(x+y)=f(x). F(y)" for all, "x,y . If f(0) ne 0, f(5)=12 and f'(0)=16 , then f'(5) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  2. Find the probability that a leap year will have 53 Friday or 53 Sat...

    Text Solution

    |

  3. Let R41QEESf(x): RvecR^+ is an invertible function such that f^(pri...

    Text Solution

    |

  4. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-z1...

    Text Solution

    |

  5. Evaluate the following int(dx)/(sqrt(x)(x+9))

    Text Solution

    |

  6. If 10 objects are distributed at random among 10 persons, then find...

    Text Solution

    |

  7. Let vec a=2i+j-2ka n d vec b=i+jdot If vec c is a vector such that ...

    Text Solution

    |

  8. In a triangle A B C ,a : b : c=4:5: 6. Then 3A+B equals to: 4C b. 2pi ...

    Text Solution

    |

  9. The area of the closed figure bounded by y=x ,y=-x and the tangent to...

    Text Solution

    |

  10. Let C1and C2 be two circles with C2 lying inside C1 circle C lying ins...

    Text Solution

    |

  11. Find the equation of the plane passing through the point (1,1,-1)a n d...

    Text Solution

    |

  12. The solution of the equation y^2x dx+y dx-x dy=0 is

    Text Solution

    |

  13. The solution of the differential equation (x+y)^2(dy)/(dx)=1 , satisfy...

    Text Solution

    |

  14. The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. ...

    Text Solution

    |

  15. Differentiate the following functions with respect to x x^(3/4)+a cos...

    Text Solution

    |

  16. The integer ' n ' for which lim(x->0)((cos x-1)(cos x-e^x))/(x^n) is...

    Text Solution

    |

  17. A shopkeeper places before you 41 different toys out of which 20 toys ...

    Text Solution

    |

  18. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

    Text Solution

    |

  19. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

    Text Solution

    |

  20. In triangle ABC, right-angled at B. if tanA=1/(sqrt(3)) find th...

    Text Solution

    |