Home
Class 12
MATHS
*' is an operation defined on Z set of a...

*' is an operation defined on Z set of all integers as a*b = a+b-2 for all `a,b in z`.
Find the inverse of an element `ainZ`.

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY EXAMINATION 2019

    UNITED BOOK HOUSE|Exercise Exercise|20 Videos

  • HIGHER SECONDARY QUESTION 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

*' is an operation defined on Z set of all integers as a*b = a+b-2 for all a,b in z . Find identity element of *'

A binary operation ** is defined on the set ZZ of all integers by a@b=a+b-3 for all a,binZZ . Determine the inverse of 5inZZ .

A binary operation @ is defined on ZZ , the set of integers, by a@b=|a-b| for all a,binZZ. Find the value of 3a@2b when a=-3and b=-2

A binary openation * is defined on the set of all integers Z by a"*"b= a+b+5, a,b in Z . Find whether * is associative on Z .

A binary operation * is defined on the set of all integers Z by a * b=a+b+5, a,binZ Find whether * is associative on Z.

Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ Find the inverse of an element in (Z ,*).

An operation ** is defined on the set of real numbers RR by a**b=ab+5 for all a,binRR . Is ** a binary operation on RR ?.

If * is defined on the set Z of all integers by *: a * b = a+b-4 , find the inverse element, if exists in Z with respect to *

A binary operation * is defined on the set of real numbers R by a*b = 2a + b - 5 for all a, b in R If 3* (x*2) = 20, find x

Let @ be an operation defined on RR . The set of real numbers, by a@b=min(a,b) for all a,binRR . Show that @ is a binary operation on RR .

UNITED BOOK HOUSE-HIGHER SECONDARY EXAMINATION 2020.-EXERCISE
  1. The mean and variance of a binomial distribution B(n,p|) are 4 and 3.2...

    Text Solution

    |

  2. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |

  3. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |

  4. Show that sin^(-1) (12/13)+cos^(-1)(4/5)+tan^(-1)(63/16) = pi.

    Text Solution

    |

  5. If A = [[0,6,7],[-6,0,8],[7,-8,0]],B=[[0,1,1],[1,0,2],[1,2,0]],C=[[2],...

    Text Solution

    |

  6. If A = ([cos theta,sin theta],[-sin theta,cos theta]) show that A= ([c...

    Text Solution

    |

  7. show that |[1,x,x^2],[x^2,1,x],[x,x^2,1]| = (1-x^3)^2

    Text Solution

    |

  8. If (cos x)^y = (cos y)^x then show that (dy)/(dx) = (y tan x+log cos y...

    Text Solution

    |

  9. If y= (tan^(-1)x)^2, then show that (1+x^2)^2(d^2y)/(dx^2)+2x(1+x^2)(d...

    Text Solution

    |

  10. Evaluate: int(2dx)/((1-x)(1+x^2))

    Text Solution

    |

  11. Evaluate: int (sqrt(tanx)+sqrtcotx)dx

    Text Solution

    |

  12. Solve: xy (dy)/(dx)=(x+2)(y+2), given x= 1, when y =-1.

    Text Solution

    |

  13. Solve: x^2dy+(xy+y^2)dx=0, given x=1 and y = 1.

    Text Solution

    |

  14. If vec a,vec b, vec c be three vectors such that vec a+vec b+vec c=0 ,...

    Text Solution

    |

  15. Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are verti...

    Text Solution

    |

  16. Show that: overset(1)underset(0)int (log(1+x)/(1+x^2))dx= pi/8 log 2.

    Text Solution

    |

  17. Let A and B be two events such that P(A) =1/3,P(B)=1/4 and P(AnnB)=1/4...

    Text Solution

    |

  18. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  19. Solve: (dy)/(dx)-3ycot x=sin2x, given y=2 when x= pi/2

    Text Solution

    |

  20. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

    Text Solution

    |