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If the binary operation * on the set Z of integers is defined by `a*b=a+3b^2,` find the value of `2*4` .

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Given: `a * b=a+3 b^{2}`
Here,
`2 * 4 =2+3(4)^{2}`
` =2+3(16) `
` =2+48 `
` =50`
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
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  2. Let * be a binary operation on Q0 (set of non-zero rational numbers) ...

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  8. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

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  9. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  10. Is * defined by a*b=(a+b)/2 is binary operation on Z.

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  12. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

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  13. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

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  14. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

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  15. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

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  16. Discuss the commutativity and associativity of binary operation * d...

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  17. Let * be a binary operation on N, the set of natural numbers, defined ...

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  18. Let *, be a binary operation on N, the set of natural numbers defined ...

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  19. On Q, the set of all rational numbers, a binary operation * is defined...

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  20. Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for al...

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