Home
Class 12
MATHS
The range of the function y=3sin(sqrt((...

The range of the function `y=3sin(sqrt((pi^(2))/(16)-x^(2)))` is

A

`[0, sqrt(3//2)]`

B

`[0, 1]`

C

`[0, 3sqrt(2)]`

D

`[0, oo)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

The range of the function y= 3 sin (sqrt(pi^2/16-x^2)) is___

The range of the function y=(pi^2/16+x^2) is ?

The range of the function y= (x)/(1+x^(2)) is-

The range of the function f(x)=sqrt(3x^2-4x+5) is

The range of the function y= (1)/(4-sin 2x) is-

The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is a. [pi/6,pi/2) b. [pi/6,pi/3) c. [pi/6,pi/4] d. none of these

Find the ranges of the following functions : y=(x^2)/(1+x^2)

Find the range of the function f(x)=2sqrt(x-2)+sqrt(4-x)

Find the ranges of the following functions : y=(x)/(1+x^2)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. If a, b and c are positive numbers in a G.P., then the roots of th...

    Text Solution

    |

  2. There is a group of 265 persons who like either singing or dancing o...

    Text Solution

    |

  3. The range of the function y=3sin(sqrt((pi^(2))/(16)-x^(2))) is

    Text Solution

    |

  4. The value of lim( x to 0) (int(0)^(x^(2)) cos(t^(2))dt)/(x sinx) is

    Text Solution

    |

  5. Let f(x) be a differentiable function and f'(4)=5. Then lim(x to 2) (f...

    Text Solution

    |

  6. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

    Text Solution

    |

  7. Let I denote the 3xx3 identity matrix and P be a matrix obtained by ...

    Text Solution

    |

  8. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

    Text Solution

    |

  9. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

    Text Solution

    |

  10. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

    Text Solution

    |

  11. Let [x] denote the greatest integer less than or equal to x for any re...

    Text Solution

    |

  12. Suppose that f(x) is a differentiable function such that f'(x) is con...

    Text Solution

    |

  13. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

    Text Solution

    |

  14. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

    Text Solution

    |

  15. The curve y=(cosx+y)^(1//2) satisfies the differential equation

    Text Solution

    |

  16. In the Argand plane, the distinct roots of 1+z+z^(3)+z^(4)=0(z is a co...

    Text Solution

    |

  17. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

    Text Solution

    |

  18. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

    Text Solution

    |

  19. A fair six-faced die is rolled 12 times. The probability that each fac...

    Text Solution

    |

  20. If alpha, beta are the roots of the quadratic equation x^(2)+px+q=0, t...

    Text Solution

    |