Home
Class 12
MATHS
Let * be a binary operation on Q0 (se...

Let * be a binary operation on `Q_0` (set of non-zero rational numbers) defined by `a*b=(3a b)/5` for all `a ,\ b in Q_0` . Show that * is commutative as well as associative. Also, find the identity element, if it exists.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let t be a binary operation on Q_(0)( set of non- zero rational numbers) defined by a*b=(3ab)/(5) for all a,b in Q_(0). Show that * is commutative as well as associative.Also,find the identity element,if it exists.

Let * be a binary operation on Q_0 (set of non-zero rational numbers) defined by a*b=(3a b)/5 for all a , b in Q_0dot Find the identity element.

Let t be a binary operation on Q_(0)( set of non- zero rational numbers) defined by a*b=(3ab)/(5) for all a,b in Q_(0) Find the identity element.

Let * be a binary operation on the set Q_0 of all non-zero rational numbers defined by a*b= (a b)/2 , for all a ,\ b in Q_0 . Show that (i) * is both commutative and associative (ii) Find the identity element in Q_0 (iii) Find the invertible elements of Q_0 .

Let 'o' be a binary operation on the set Q_0 of all non-zero rational numbers defined by a\ o\ b=(a b)/2 , for all a ,\ b in Q_0 . Show that 'o' is both commutative and associate (ii) Find the identity element in Q_0 (iii) Find the invertible elements of Q_0 .

Let '*' be a binary operation on Q defined by : a* b = (3ab)/5 . Show that * is commutative as well as associative. Also find its identity element, if its exists.

Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show that * is commutative as well as associative. Also, find its identity element, if it exists.

Let* be a binary operation on Q, defined by a*b= (3ab)/(5) .Show that is commutative as well as associative. Also, find its identity, if it exists.

Let '*' be a binary operation on Q_0 (set of all non-zero rational numbers) defined by a*b=(a b)/4 for all a , b in Q_0dot Then, find the identity element in Q_0 inverse of an element in Q_0dot