Home
Class 12
MATHS
Let '*' be a binary operation on N given...

Let `'*'` be a binary operation on N given by `a*b=LdotCdotMdot(a , b)` for all `a , b in Ndot` Find `5*7,20*16` (ii) Is * commutative? Is * associative? Find the identity element in N Which element of N are invertible? Find them.

Text Solution

Verified by Experts

The correct Answer is:
(i) 5*7=35, 20*16=80 `" "` (ii)* is commutative
(iii)* is associative `" "` (iv) 1
(v) 1
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1d|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1e|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1b|18 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

Let * be a binary operation on N given by a*b=LdotCdotM(a , b) for all a , b in N . (i) Find 5*7, 20*16 (ii) Is * commutative?

Let ^(prime*) be a binary operation on N given by a*b=L.C.M.(a,b) for all a,b in N. Find 5*7,20*16 (ii) Is* commutative? Is* associative? Find the identity element in N Which element of N are invertible? Find them.

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 20**16

Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all a, b inN . Find 6**7

Let * be a binary operation of N given by a a*b=LCM(a,b) for all a,b in N. Find 5*7.

Let * be the binary operation on N given by a*b" "=" "LdotCdotMdot of a and b. Find (i) 5" "*" "7," "20" "*" "16 (ii) Is * commutative? (iii) Is * associative? (iv) Find the identity of * in N (v) Which elements of N are invert

Let * be a binary operation on N given by a*b=HFC(a,b) for all a,b in N, then find :12*4,18*24,7*5

Let * be a binary operation on N given by a*b =Lcm of a and b find the value of 20*16

Let ^(*) be a binary operation on N defined by a*b=1.*ma,b for all a,b in N. Find 2*4,3*5,1*6

Let * be a binary operation on Q-{-1} defined by a*b=a+b+ab for all a,b in Q-{-1}. Then,Show that * is both commutative and associative on Q-{-1} (ii) Find the identity element in Q-{-1}