Home
Class 12
MATHS
Let Q be the set of all rational numb...

Let Q be the set of all rational numbers and * be the binary operation , defined by `a`*`b=a+ab` for all `a, b in Q.` then ,

A

1

B

0

C

`-1`

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2005

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|52 Videos

  • GGSIPU MATHEMATICS 2007

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|47 Videos

Similar Questions

Explore conceptually related problems

Let a * b=a+ab for all a,b in Q . then

Q^(+) is the set of all positive rational numbers with the binary operation * defined by a*b=(ab)/(2) for all a,b in Q^(+). The inverse of an element a in Q^(+) is a (b) (1)/(a)( c) (2)/(a) (d) (4)/(a)

Let S be the set of all real numbers except -1 and let * be an operation defined by a*b=a+b+ab for all a,b in S. Determine whether * is a binary operation on S. If yes, check its commutativity and associativity.Also, solve the equation (2*x)*3=7

Let R be the set of real numbers and * be the binary operation defined on R as a*b= a+ b-ab AA a, b in R .Then, the identity element with respect to the binary operation * is

On Q,the set of all rational numbers,a binary operation * is defined by a*b=(ab)/(5) for all a,b in Q. Find the identity element for * in Q Also,prove that every non-zero element of Q is invertible.

On the set Q^(+) of all positive rational numbers a binary operation * is defined by a*b=(ab)/(2) for all a,b in Q^(+). The inverse of 8 is (1)/(8) (b) (1)/(2)(cc)2(d)4

Let A be the set of all real numbers except -1 and an operation 'o' be defined on A by aob = a+b + ab for all a, b in A , then identify elements w.r.t. 'o' is

Let A = Q xx Q, where Q is the set of all rational numbers, and * be abinary operation defined on A by (a, b) * (c, d) = (ac, b + ad), for all (a, b) (c, d) in A.Find the identity element in A.

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2006-MCQ
  1. If the tangent to the curve y=6x-x^2 is parallel to line 4x-2y-1=0, t...

    Text Solution

    |

  2. A four figure number is formed of the figures 1, 2, 3, 4, 5 with no ...

    Text Solution

    |

  3. The number of solutions for the equation x^2 - 5|x| + 6 = 0 is :

    Text Solution

    |

  4. How many numbers of 6 digits can be formed from the digits of number 1...

    Text Solution

    |

  5. The last digit of 7^(2003) is

    Text Solution

    |

  6. If (logx)/(a - b) = (logy)/(b-c) = (log z)/(c -a) , then xyz is equal ...

    Text Solution

    |

  7. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

    Text Solution

    |

  8. If cos^(-1)p+cos^(-1)q+cos^(-1)r=3pi, then p^(2)+q^(2)+r^(2)+2pqr is e...

    Text Solution

    |

  9. If sin^(-1)(x/5) + cosec^(-1) (5/4) = pi/2 , then the value of x is

    Text Solution

    |

  10. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

    Text Solution

    |

  11. The equation of the director circle of the hyperbola (x^2)/(16)-(y^2)/...

    Text Solution

    |

  12. Let Q be the set of all rational numbers and * be the binary oper...

    Text Solution

    |

  13. Thecircle x^2+y^2-8x+4y+4=0 touches

    Text Solution

    |

  14. If f(x)=log (1+x)-(2x)/(2+x) is increasing , then………..

    Text Solution

    |

  15. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

    Text Solution

    |

  16. underset(x to oo)lim(1-(4)/(x-1))^(3x-1) is equal to

    Text Solution

    |

  17. If A+B+C=180^(@), then Sigmatan.(A)/(2)tan.(B)/(2) is

    Text Solution

    |

  18. In a triangle ABC if b=2,B=30^@ then the area of the circumcircle of ...

    Text Solution

    |

  19. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

    Text Solution

    |

  20. If R denotes the set of all real number,then the function f:R to R de...

    Text Solution

    |