Home
Class 12
MATHS
If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x)...

If `f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x)` is a function having the same time period as that of `f(x)`, then which ofthe following can be `g(x)`.

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

If f(x)=2tan3x+5sqrt(1-cos6x);g(x) is a function having the same time period as that of f(x), then which ofthe following can be g(x).

If f and g are real functions defined by f(x)=x^(2)+7 and g(x)=3x+5, find each of the following

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be

The period of the function f(x)=cos4x+tan3x is

If f(x) = 2x and g(x) = (x^(2))/(2)+1 , then which of the following can be a discontinuous functions?

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: fg

If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the value of g'(5) is equal to

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f+g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f-g

RESONANCE DPP-JEE MAINS-All Questions
  1. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo...

    Text Solution

    |

  2. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b...

    Text Solution

    |

  3. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

    Text Solution

    |

  4. The greatest ' x ' satisfying the inequation (2x+1)/3-(3x-1)/2>1 is: -...

    Text Solution

    |

  5. If (x-1)(x-3)(x+2)(x-5)>0 then ' x^(prime) can be [6,8] (b) [2, 3] (c...

    Text Solution

    |

  6. In the figure, if A B=A C ,/B A D=30^0 and A E=A D , then x is equal t...

    Text Solution

    |

  7. Number of composite numbers less than 20 which are coprime with 4 s...

    Text Solution

    |

  8. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

    Text Solution

    |

  9. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...

    Text Solution

    |

  10. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

    Text Solution

    |

  11. If f(x)=4x^3-x^2-2x+1 and g(x)=min{f(t): 0lt=tlt=x} : 0lt=xlt=1 and g(...

    Text Solution

    |

  12. Let aa n db be the number of solutions and sum of solutions of (2x)/(x...

    Text Solution

    |

  13. If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c)...

    Text Solution

    |

  14. The simultaneous equations, y=x+2|x|& y=4+x-|x| have the solution...

    Text Solution

    |

  15. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

    Text Solution

    |

  16. The minimum value of the expression |x-p+|x-15|+|x-p-15| for ' x ' in ...

    Text Solution

    |

  17. if sqrt(x^2+y^2)=e^t where t=sin^-1 (y/sqrt(x^2+y^2)) then (dy)/(dx) i...

    Text Solution

    |

  18. Solution set of inequality ((e^x-1)(2x-3)(x^2+x+2))/((sinx-2)(x+1)^2x)...

    Text Solution

    |

  19. If the sum of first 16 terms of the series s=cot^(-1)(2^2+1/2)+cot^(-1...

    Text Solution

    |

  20. If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b...

    Text Solution

    |