Home
Class 12
MATHS
If f:R to S is defined by f(x)=sinx-sqrt...

If `f:R to S` is defined by `f(x)=sinx-sqrt(3)cosx+1` is onto, then the interval of S is -

A

[-1, 3]

B

[0, 1]

C

[-1, 1]

D

[0, 3]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If f: RtoS , defined by f(x)=sinx-sqrt(3)cosx+1,is onto , then find the set Sdot

If f : R rarr R is defined by f(x)=1/(2-cos3x) for each x in R , then the range of f is

If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

The function f:[0, 2]to R defined by f(x)=x^(3)-3x is increasing in which of the following intervals ?

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

Fill in the blanks : If a function f : R to R is defined by f(x) = 2x+3 then f^(-1) (19)="____" (R is the set real numbers ).

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  2. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  3. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  4. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  5. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  6. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  7. A real valued function f(x) stisfies the functional relation f(x-y)=f(...

    Text Solution

    |

  8. The probability of having a king and a queen when two cards are drawn ...

    Text Solution

    |

  9. A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3),P(B)...

    Text Solution

    |

  10. The chance of throwing a total of 7 or 12 with two dice is -

    Text Solution

    |

  11. If A and B are two events, then the probability that one and only one ...

    Text Solution

    |

  12. If A and B are two events and P(A cup B)=(5)/(6), P(A cap B)=(1)/(3) a...

    Text Solution

    |

  13. If two fair coins are tossed together 5 times, then the probability o...

    Text Solution

    |

  14. If n and p are two parameters of Binomial Distribution and its varian...

    Text Solution

    |

  15. 5 unbiased coins are tossed at random. The probability of getting at l...

    Text Solution

    |

  16. Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the ...

    Text Solution

    |

  17. The angle between the normals to the planes x-y+2z=8 and 2x+y+z=12 is...

    Text Solution

    |

  18. The acute angle between the normals to the planes the points (3, 2, 3...

    Text Solution

    |

  19. If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-...

    Text Solution

    |

  20. The equation of the line passing through the point (2, -3, 1) and para...

    Text Solution

    |