Home
Class 12
MATHS
Let f be a real - valued function define...

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 value of f(10) is equal to

A

28

B

24

C

32

D

18

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|36 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|30 Videos
  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos
  • DETERMINANTS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

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) Number of values of x in interval (0, 3) so that f(x) is an integer, is equal to

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

Let f be a real valued function defined by f(x)=x^2+1. Find f'(2) .

Let be a real valued function defined by f(x) =e +e^x , then the range of f(x) is :

The function f(x) = sin ^(-1)(cos x) is

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f'(1).

Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following statement(s) is / are TRUE ?

Let f and g be differrntiable functions on R (the set of all real numbers) such that g (1)=2=g '(1) and f'(0) =4. If h (x)= f (2xg (x)+ cos pi x-3) then h'(1) is equal to:

Consider a real - valued function f(x) = sqrt(sin^(-1) x + 2) + sqrt(1 - sin^(-1)x) The range of f (x) is

If f(x) is a real-valued function defined as f(x)=In (1-sinx), then the graph of f(x) is

VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let f be a real - valued function defined on R ( the set of real numb...

    Text Solution

    |

  2. Let f (x)= {{:(ax (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +q...

    Text Solution

    |

  3. If y= sin (8 sin ^(-1) x ) then (1-x ^(2)) (d^(2)y)/(dx ^(2))-x (dy)/...

    Text Solution

    |

  4. If y ^(2) =4ax, then (d^(2) y)/(dx ^(2))=(ka ^(2))/( y ^(3)), where k ...

    Text Solution

    |

  5. The number of values of x , x ∈ [-2,3] where f (x) =[x ^(2)] sin (pix)...

    Text Solution

    |

  6. If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...

    Text Solution

    |

  7. In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...

    Text Solution

    |

  8. Consider f(x) =x^(2)+ax+3 and g(x) =x+band F(x) = lim( n to oo) (f...

    Text Solution

    |

  9. Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f...

    Text Solution

    |

  10. If f (x) +2 f (1-x) =x ^(2) +2 AA x in R and f (x) is a differentiable...

    Text Solution

    |

  11. Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number o...

    Text Solution

    |

  12. If (d^(2))/(d x ^(2))((sin ^(4)x+ sin ^(2)x+1)/(sin ^(2)x + si n x+1))...

    Text Solution

    |

  13. f (x) =a cos (pix)+b, f'((1)/(2))=pi and int (1//2)^(3//2) f (x) dx =2...

    Text Solution

    |

  14. Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1...

    Text Solution

    |

  15. Let f (x) =-4.e ^((1-x)/(2))+ (x ^(3))/(3 ) + (x ^(2))/(2)+ x+1 and g ...

    Text Solution

    |

  16. If y=e^(2 sin ^(-1)x) then |((x ^(2) -1) y ^('') +xy')/(y)| is equal t...

    Text Solution

    |

  17. Let f be continuous function on [0,oo) such that lim (x to oo) (f(x)+ ...

    Text Solution

    |

  18. Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5)...

    Text Solution

    |

  19. In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...

    Text Solution

    |

  20. Let f :R to R be a differentiable function satisfying: f (xy) =(f(x)...

    Text Solution

    |

  21. For the curve sinx+siny=1 lying in first quadrant. If underset(xrarr0...

    Text Solution

    |