117164 Let \(\boldsymbol{f}: \mathrm{N} \times \mathrm{N} \rightarrow \mathrm{N}\) be a function such that \(\mathrm{f}(1\), 1) \(=2\) and \(f((\mathrm{~m}+1, \mathrm{n}))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n})\) and \(f((\mathrm{~m}, \mathrm{n}+1))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n}-1), \forall\) \(\mathrm{m}, \mathrm{n} \in \mathrm{N}\), then find \(\boldsymbol{f ( 2 , 2 )}\)

117165 In the set \(\mathrm{Q}^{+}\)of all positive rational numbers, the operation * is defined by the formula \(a * b=\frac{a b}{6}\). Then, the inverse of 9 with respect to * is

117166 Which of the following functions is inverse itself?

117168 Let \(A=\{1,2,3,4\}\) and \(R\) be the relation on \(A\) defined by \(\{(a, b): a, b \in A, a \times b\) is an even number \(\}\), then find the range of \(R\).

117164 Let \(\boldsymbol{f}: \mathrm{N} \times \mathrm{N} \rightarrow \mathrm{N}\) be a function such that \(\mathrm{f}(1\), 1) \(=2\) and \(f((\mathrm{~m}+1, \mathrm{n}))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n})\) and \(f((\mathrm{~m}, \mathrm{n}+1))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n}-1), \forall\) \(\mathrm{m}, \mathrm{n} \in \mathrm{N}\), then find \(\boldsymbol{f ( 2 , 2 )}\)

117165 In the set \(\mathrm{Q}^{+}\)of all positive rational numbers, the operation * is defined by the formula \(a * b=\frac{a b}{6}\). Then, the inverse of 9 with respect to * is

117166 Which of the following functions is inverse itself?

117168 Let \(A=\{1,2,3,4\}\) and \(R\) be the relation on \(A\) defined by \(\{(a, b): a, b \in A, a \times b\) is an even number \(\}\), then find the range of \(R\).

117164 Let \(\boldsymbol{f}: \mathrm{N} \times \mathrm{N} \rightarrow \mathrm{N}\) be a function such that \(\mathrm{f}(1\), 1) \(=2\) and \(f((\mathrm{~m}+1, \mathrm{n}))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n})\) and \(f((\mathrm{~m}, \mathrm{n}+1))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n}-1), \forall\) \(\mathrm{m}, \mathrm{n} \in \mathrm{N}\), then find \(\boldsymbol{f ( 2 , 2 )}\)

117165 In the set \(\mathrm{Q}^{+}\)of all positive rational numbers, the operation * is defined by the formula \(a * b=\frac{a b}{6}\). Then, the inverse of 9 with respect to * is

117166 Which of the following functions is inverse itself?

117168 Let \(A=\{1,2,3,4\}\) and \(R\) be the relation on \(A\) defined by \(\{(a, b): a, b \in A, a \times b\) is an even number \(\}\), then find the range of \(R\).

117164 Let \(\boldsymbol{f}: \mathrm{N} \times \mathrm{N} \rightarrow \mathrm{N}\) be a function such that \(\mathrm{f}(1\), 1) \(=2\) and \(f((\mathrm{~m}+1, \mathrm{n}))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n})\) and \(f((\mathrm{~m}, \mathrm{n}+1))=f((\mathrm{~m}, \mathrm{n}))+2(\mathrm{~m}+\mathrm{n}-1), \forall\) \(\mathrm{m}, \mathrm{n} \in \mathrm{N}\), then find \(\boldsymbol{f ( 2 , 2 )}\)

117165 In the set \(\mathrm{Q}^{+}\)of all positive rational numbers, the operation * is defined by the formula \(a * b=\frac{a b}{6}\). Then, the inverse of 9 with respect to * is

117166 Which of the following functions is inverse itself?

117168 Let \(A=\{1,2,3,4\}\) and \(R\) be the relation on \(A\) defined by \(\{(a, b): a, b \in A, a \times b\) is an even number \(\}\), then find the range of \(R\).