# CBSE Class 12-science Maths Binary Operations

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- 2+2=?
- In R - {-1}, there is a binary operation '*' defined by a*b = a+b - ab, for all a,b belongs to R - {-1}. Is R - {-1} group?
- Please answer this question
- Consider the binary operation * on the set {1, 2, 3, 4, 5} defined by a*b=HCF of a andb. Write the operation table of the operation *. Is * commutative? Justify. Also, compute: (a) (2*3)*5 (b) (2*3)*(4*5).
- Show that the binary operation * on A = R – {-1} defined as a*b = a + b + ab for all a,b belongs to A is commutative and associative on A. also find the identity element of * in A and prove that every element of A in invertible mention each and every formula and minute details
- Define binary operation * on a set X.
- A binary operation is defined by x * y = 2x – 3y. Find *(3, 2).
- A binary operation is defined by a * b = ab/2. Is the binary operation commutative?
- A binary operation defined by a * b = a
^{b}. Is the binary operation associative? - For the binary operation * defined by a * b = a + b + 1. Find the identity element for operation *.

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