Home
Class 12
MATHS
If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then t...

If `f(x)=sqrt(4-x^2)+sqrt(x^2-1)` , then the maximum value of `(f(x))^2` is ____________

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

If f(x)= (1)/(4x^(2) + 2x + 1) then its maximum value is -

If f(x)=sqrt(x^(2)+1) , then the value of f'(-1) is -

f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) then

If f(x)=sqrt2x-sqrt(2/x)+(4-x)/(4-x) , find the value of f(2)

If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) at x=2 is -

If f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is _____ and its range is __________.

x^2+sqrt(3).f(x)+2sqrt(3)-3=0 , then the value of f(sqrt(3))

Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -

If f(X)=sqrt(sec^-1((2-|x|)/4)) , then the domain of f(x) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If f:[0,oo)->[0,oo) and f(x)=x/(1+x), then f(x) is (a) one-on...

    Text Solution

    |

  2. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  3. If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 i...

    Text Solution

    |

  4. If f:[1, infty)rarr[2, infty) given by f(x)=x+1/x then find f^(-1)(x),...

    Text Solution

    |

  5. The domain of f(x)=((log)2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,o...

    Text Solution

    |

  6. The domain of definition of the function y(x) given by the equation 2^...

    Text Solution

    |

  7. Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then fo...

    Text Solution

    |

  8. Suppose f(x)=(x+1)^2 forxgeq-1. If g(x) is the function whose graph ...

    Text Solution

    |

  9. Let the function f: RrarrR be defined by f(x)=2x+sinx for x in Rdot ...

    Text Solution

    |

  10. Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F ...

    Text Solution

    |

  11. f(x) = (alpha x)/(x + 1) (x ne -1), then for what value of alpha , f{f...

    Text Solution

    |

  12. Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x) is not identically zer...

    Text Solution

    |

  13. Consider the real-valued function satisfying 2f(sinx)+f(cosx)=xdot th...

    Text Solution

    |

  14. If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA...

    Text Solution

    |

  15. If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,...

    Text Solution

    |

  16. Which of the following functions are identical? (a)f(x)=1nx^2a n dg(x...

    Text Solution

    |

  17. Which of the following functions have the graph symmetrical about the ...

    Text Solution

    |

  18. The range of given function f(x)=^(7-x)P(x-3) is given by

    Text Solution

    |

  19. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

    Text Solution

    |

  20. If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in R an...

    Text Solution

    |