Home
Class 12
MATHS
The area bounded by f(x)=sin^(-1)(sinx) ...

The area bounded by `f(x)=sin^(-1)(sinx)` and
`g(x)=pi/2-sqrt(pi^(2)/2-(x-pi/2)^(2))` is

A

`pi^(3)/8` sq units

B

`pi^(2)/8` sq units

C

`pi^(3)/2` sq units

D

`pi^(2)/2` sq units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by y=1+2 sin^(2)x,"X-axis", X=0 and x=pi .

Compute d/(dx)(sin^-1(sinx)) when pi/2 le x le (3pi)/2

Calculate the area bounded by the curve: f(x)=sin^2(x/2) , axis of x and the ordinates: x=0, x=pi/2 .

Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

Find the area bounded by the curve y = sinx between x = 0, and x = 2pi

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The area bounded by curve y = f(x) and x- axis from pi/2 le x le pi is equal to

The area bounded by the curve y = sin x, pi le x le 2 pi and the x-axis is

bb"Statement I" The range of f(x)=sin(pi/5+x)-sin(pi/5-x)-sin((2pi)/5+x)+sin((2pi)/5-x) is [-1,1]. bb"Statement II " cos""pi/5-cos""(2pi)/5=1/2

Let f(x)=tanx, -pi/2 and g(x)= sqrt(1-x^2) . Describe gof.

(ii) Find the area bounded by the curve : (I) y=sin x between x=0 and x=2pi .

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

    Text Solution

    |

  2. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

    Text Solution

    |

  3. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  4. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

    Text Solution

    |

  5. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

    Text Solution

    |

  6. If f(2x+3y ,2x-7y)=20 x ,t h e nf(x , y)e q u a l sdot 7x-3y 7x+3y...

    Text Solution

    |

  7. The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

    Text Solution

    |

  8. The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cose...

    Text Solution

    |

  9. Let f(x) be a polynominal one-one function such that f(x)f(y)+2=f(x)...

    Text Solution

    |

  10. Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x)...

    Text Solution

    |

  11. Let A={1,2,3,4,5} and f:A rarr A be an into function such that f(x) ne...

    Text Solution

    |

  12. If functions f:{1,2,…,n} rarr {1995,1996} satisfying f(1)+f(2)+…+f(199...

    Text Solution

    |

  13. Find the range of y=sin^3x-6sin^2x+11sinx-6.

    Text Solution

    |

  14. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-(x))dot Show that g(...

    Text Solution

    |

  15. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

    Text Solution

    |

  16. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  17. A function f from integers to integers is defined as f(x)={{:(n+3, n ...

    Text Solution

    |

  18. If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...

    Text Solution

    |

  19. Show that f: R→ R defined as f(a) = 3a – 4 is one to one function.

    Text Solution

    |

  20. Find dy/dx if y= 3^x

    Text Solution

    |