Home
Class 12
MATHS
Let A ={1,2,3,4} and RR be the set of re...

Let `A ={1,2,3,4} and RR` be the set of real numbers. If `f : A to RR` be deined by `f (x) =x^(2) -1,` then f as a set of ordered pairs will be -

A

`{(0,1) , (3,8) ,(2,4) ,(4,15)}`

B

`{(1,0) , (2,3),(3,8),(4,15)}`

C

`{(1,0), (2,3),(3,9),(4,16)}`

D

`{(1,0),(2,3), (3,9), (4,16)}`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 33|1 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Let A ={1, 2, 3, 4} and RR be the set of real numbers. If f:ArarrRR be defined by f(x)=x^2-1 , find f as a set of ordered pairs and determine its range.

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let R be the set of real numbers and f:R to R be defined by f(x)=x^(2)+2 , then the set f^(-1)(11 le x le 27) is -

Let RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= cos ec x(x ne npi, n in z): then image set of f is-

Let RR be the set of real number and f: RR rarr RR , be given by f(x)=2x^(2)-1 . .Is this mapping one -one ?

Let RR be the set of real numbers and f:RR to RR be given by, f(x)=log_ex. Does f define a function ?

Let RR be the set of real numbers and f:RR rarr RR be defined by , f(x)=2x^(2)-5x+6 .Find f^(-1)(5) and f^(-1)(2)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 3
  1. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

    Text Solution

    |

  2. What is the length of the focal distance from the point P(x(1),y(1))on...

    Text Solution

    |

  3. Equation of the circel passing throuugh the intersection of ellipses (...

    Text Solution

    |

  4. Let A ={1,2,3,4} and RR be the set of real numbers. If f : A to RR be...

    Text Solution

    |

  5. If set A contains p elements and set B contains q elements then their ...

    Text Solution

    |

  6. Domain of the function f (x)= (x)/(log (e) (1+x))is-

    Text Solution

    |

  7. If f(x)= x^2/(1+x^2) then the range of f is

    Text Solution

    |

  8. If 2f(x) + 3f(-x) =15 -4x, then f(x) is equal to-

    Text Solution

    |

  9. Let f (x) ={{:((sin pix)/(5x) ",","when " x ne0),(K",", "when" x=0):} ...

    Text Solution

    |

  10. Let P be the point (1,0) and Q a point on the parabola y^(2) =8x, the...

    Text Solution

    |

  11. The domain of defination of the function f (x) =(sin ^(-1) (3-x))/(log...

    Text Solution

    |

  12. lim (xto3)[x] is equal to-

    Text Solution

    |

  13. If the function f (x)= {{:(e ^(2x) -1",","when " x le 0),(ax+ (bx^(2))...

    Text Solution

    |

  14. The range of the function f(x) =(x+2)/(|x+2|) is-

    Text Solution

    |

  15. Let f(x) =a^(x) (a gt 0) be writtne as f(x0 =g(x) +h(x), where g (x0 ...

    Text Solution

    |

  16. The value of lim (xto0) ((cos x -1) (cos x-e ^(x)))/(x ^(3)) is-

    Text Solution

    |

  17. If f:RR to RR satisfies f (x+y) =f (x) + f (y) for all x,y in RR and f...

    Text Solution

    |

  18. Let f(x) be a polynomial function of second degree. If f (1) =f(-1) an...

    Text Solution

    |

  19. Range of f (x) =(x^(2) x+2)/(x^(2) +x+1)(-oolt x lt oo) is-

    Text Solution

    |

  20. If f(x)=|x-3|+|x-4|, then in the interval 0 le x le 5, the function f...

    Text Solution

    |