Home
Class 12
MATHS
If a*b=a^2+b^2, then the value of (4*5)*...

If `a`*`b=a^2+b^2,` then the value of `(4`*`5)`*`3` is (i)`(4^2+5^2)+3^2` (ii) `(4+5)^2+3^2` (iii)`41^2+3^2` (iv) `(4+5+3)^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If a : b=2:5, . find the value of (3a+2b)/(4a+b)

Simplify: (i) (3/4)^2 (ii) ((-2)/3)^4 (iii) ((-4)/5)^5

Find the values of :- (i) 2^(4) (ii) 4^(3) (iii) 3^(2) (iv) 5^(3) (v) 9^(4) (vi) 7^(3)

Simplify: (i) 3^2xx10^4 (ii) 2^4xx3^2 (iii) 5^2xx3^4

Find the value of : (i) 2^6 (ii) 9^3 (iii) 11^2 (iv) 5^4

Evaluate : (i) 5^(-2) (ii) (-3)^(-2) (iii) (1/4)^(-1) (iv) ((-1)/2)^(-1)

Simplify : (i) 2 xx 10^3 (ii) 7^2 xx 2^2 (iii) 2^3 xx 5 (iv) 3 xx 4^4

Evaluate each of the following (i) 5^2 x 5^4 (ii) 5^8 divide 5^3 (iii) (3^2)^3 (iv) (11/12)^3 (v) (3/4)^-3

Find (i) 1/2 of (ii) (2) 3/4 (iii) (4) 2/9 (iv) 5/8 of (v) (3) 5/6 (ii) (9) 2/3

Find the following products: (i) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a ...

    Text Solution

    |

  2. Let * be a binary operation on set of integers I , defined by a*b=2a...

    Text Solution

    |

  3. If a*b=a^2+b^2, then the value of (4*5)*3 is (i)(4^2+5^2)+3^2 (ii) (4...

    Text Solution

    |

  4. If a*b denote the bigger among a and b and if a b=(a*b)+3 , then 4*...

    Text Solution

    |

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

    Text Solution

    |

  6. For the binary operation * on Z defined by a*b= a+b+1 the identity e...

    Text Solution

    |

  7. If a binary operation * is defined on the set Z of integers as a*b=3...

    Text Solution

    |

  8. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  9. If G is the set of all matrices of the form [xxxx] , where x in R-...

    Text Solution

    |

  10. Q^+ is the set of all positive rational numbers with the binary oper...

    Text Solution

    |

  11. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  12. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

    Text Solution

    |

  13. Which of the following is true? * defined by (a)a*b=(a+b)/2 is a bin...

    Text Solution

    |

  14. The binary operation * defined on N by a*b=a+b+a b for all a ,\ b in...

    Text Solution

    |

  15. If a binary operation * is defined by a*b=a^2+b^2+a b+1 ,then (2*3)*...

    Text Solution

    |

  16. Let * be a binary operation on R defined by a*b= a b+1 . Then, * is ...

    Text Solution

    |

  17. Subtraction of integers is (a)commutative but not associative (b)c...

    Text Solution

    |

  18. The law a+b=b+a is called

    Text Solution

    |

  19. An operation * is defined on the set Z of non-zero integers by a*b...

    Text Solution

    |

  20. On Z an operation * is defined by a*b=a^2+b^2 for all a ,\ b in Z ....

    Text Solution

    |