Home
Class 11
MATHS
Which one of the following is not a func...

Which one of the following is not a function? `{(x , y): x , y in R , x^2=y}` b. `{(x , y): x , y in R , y^2=x}` c. `{(x , y): x , y in R , x=y^3}` d. `{(x , y): x , y in R , y=x^3}`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

Which of the following are function: {(x , y): y^2=x , x , y in R} b. {(x , y): y=|x|, x , y in R} c. {(x , y): x^2+y^2=1, x , y in R} d. {(x , y): x^2-y^2=1, x , y in R}

if A={(x,y):x^(2)+y^(2)=4, x,y in R }and B={(x,y):Y=|x|, x , y in R } then

If A={(x ,\ y): y=1/x ,\ 0!=x in R}a n d\ B={(x , y): y=-x ,\ x in R} , then write AnnBdot

If A={(x ,\ y): y=e^x ,\ x in R}a n d\ B={(x , y): y=e^(-x),\ x in R} , then write AnnBdot

If R={(x,y),x, y, in W,x^(2)+y^(2)le 4 then domain of R is

If set A and B are defined as A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,} . Then

If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R},B={(x,y):y=x, x in R} then

Given R={(x,y):x,y in W, x^(2)+y^(2) =169} , then the domain of R is

If R = {(x,y):x, y in N, x+2y=8} then range of R is

In the set Z of all integers, which of the following relation R is not an equivalence relation? x\ R\ y : if xlt=y (b) x\ R\ y : if x=y (c) x\ R\ y : if x-y is an even integer (d) x\ R\ y : if x=y (mod 3)

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let A=[1,2,3],\ B=[2,3,4],\ then which of the following is a function...

    Text Solution

    |

  2. If f: Q->Q is defined as f(x)=x^2,\ t h e n\ f^(-1)(9) is equal to a.3...

    Text Solution

    |

  3. Which one of the following is not a function? {(x , y): x , y in R , ...

    Text Solution

    |

  4. If f(x)="cos"((log)e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value ...

    Text Solution

    |

  5. Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

    Text Solution

    |

  6. The range of F(X) = Cos [X], Where − π/ 2 < X < π/ 2 . is

    Text Solution

    |

  7. Which of the following are function: {(x , y): y^2=x , x , y in R} b...

    Text Solution

    |

  8. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

    Text Solution

    |

  9. If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) ...

    Text Solution

    |

  10. If f(x)=cos((log)e x),\ t h e n\ f(1/x)f(1/y)-1/2{f(x y)+f(x/y)} is eq...

    Text Solution

    |

  11. Let A={x in R : x!=0,\ -4lt=xlt=4} and f: A->R be defined by f(x)=(|x...

    Text Solution

    |

  12. Let f(x)=x,g(x)=1/x and h(x)=f(x)g(x) . Then h(x)=1 for a.x in R b. x...

    Text Solution

    |

  13. If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x ...

    Text Solution

    |

  14. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

    Text Solution

    |

  15. If f: [-2, 2] -> R is defined by f(x)={-1,for -2<=x<=0 , then x...

    Text Solution

    |

  16. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,val...

    Text Solution

    |

  17. The domain of the function f(x)=sqrt(2-2x-x^2) is [-sqrt(3),\ sqrt(3)]...

    Text Solution

    |

  18. The domain of the function f(x)=((x+1)(x-3))/(x-2) is a. [-1,2)uu[3,o...

    Text Solution

    |

  19. The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3...

    Text Solution

    |

  20. The domain of definition of the function f(x)=sqrt(x-1)+sqrt(3-x) is a...

    Text Solution

    |