Home
Class 12
MATHS
** is defined by a**b = a +b -1 on Z , ...

`**` is defined by `a**b = a +b -1 ` on Z , then identity element for `**` is .........

A

1

B

0

C

`-1`

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - B)|4 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - C)|5 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/ False)|10 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

For a**b = a +b + 10 on Z , the identity element is ........

On Z ** defined by a**b = a+b+1 . Is ** associative ? Find identity element and inverse if it exists.

If a**b = a +b - ab on Q^(+) , then the identity and the inverse of a for ** are respectively ..........

A binary operation on a set has always the identity element.

L A = NxxN and ** be the binary operation on A defined by (a,b) "*" (c,d) = (a+c,b+d) Show that ** is commutative and associative . Find the identity element for ** on A , if any.

If a**b =a^(2) +b^(2) on Z , then ** is ..........

** be binary operation defined on a set R by a**b=a+b-(ab)^2 . Show that ** is commutative, but it is not associative. Find the identity element for ** .

** be a binary operation on a set {0,1,2,3,4} defined by a**b={(a+b," if " a+blt6),(a+b-6," if " a + b ge6):} Then find identity element of ** .

The identity element for the binary operation ** defined on Q ~ {0} as a**b = (ab)/2' AA a,b in Q - {0} is .........