Invertible Element Binary Operation
Trending Questions
Q.
if f:N→N is defined by f(n)=n−(−1)n, then
f is one-one but not onto
f is both one-one and onto
f is neither one-one nor onto
f is onto but not one-one
Q.
If a ∗ b = a = b ∗ a, then b is called the inverse of a under the operation ∗
False
True
Q.
If a ∗ b = a = b ∗ a, then b is called the inverse of a under the operation ∗
True
False
Q.
if f:N→N is defined by f(n)=n−(−1)n, then
f is both one-one and onto
f is one-one but not onto
f is neither one-one nor onto
f is onto but not one-one
Q.
if f:N→N is defined by f(n)=n−(−1)n, then
f is one-one but not onto
f is both one-one and onto
f is neither one-one nor onto
f is onto but not one-one
Q.
If a ∗ b = a = b ∗ a, then b is called the inverse of a under the operation ∗
True
False
Q. Let * be a binary operation on set Q − {1} defined bya * b = a + b − ab for all a, b ∈ Q − {1}.
Then, which of the following statement(s) is/are true?
Then, which of the following statement(s) is/are true?
- 0 is the identity element with respect to * on Q−{1}.
- Every element of Q− {1} is invertible.
- For any element a∈Q−{1}, inverse of a is aa−1
- * is associative on Q− {1}