Home
Class 12
MATHS
Let S =Qxx Q and let * be a binary opera...

Let S =Q`xx` Q and let * be a binary operation on S defined by (a, b)* (c,d) = (ac, b+ad) for (a, b), (c,d) `in` S. Find the identity element in S and the invertible elements of S.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Long Answer Type Questions) |6 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS ( Exercise 1 (a))|39 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Very Short Answer Type Questions) |6 Videos

  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let * is a binary operation defined by a * b = 3a + 4b - 2 , find 4*5 .

Let be a binary operation defined by a*b = 7a+9b. Find 3*4.

Let* be a binary operation on R - (-1) defined by a*b= (a)/(b+1) for all a, b in R-{-1} is

Let A=R xx R 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.

Let the binary operation on Q defined as a * b = 2a + b - ab , find 3*4 .

Let A=N xx N and let* be a binary operation on A defined by (a, b) * (c,d) = (ad + bc, bd), AA (a, b), (c,d) in N xx N. Show that (i) * is commutative. (ii) * is associative. (iii) A has no identity element.

Let A=N cup {0} xx N cup {0} and Let * be a binary operation on a defined by (a, b) **(c, d)=(a+c, b+d) for (a, b), (c, d) in N. Show that. (i) B commutative as A (ii) * is associative on A

Let ast be a binary operation on the set of real numbers, defined by a astb=frac[ab][5] , for all a,binR . Find the identity element.