Home
Class 12
MATHS
If a*b denote the bigger among a and b...

If `a`*`b` denote the bigger among `a` and `b` and if `a b=(a`*`b)+3` , then `4`*`7=` (a) 14 (b) 31 (c) 10 (d) 8

A

31

B

14

C

10

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
NA
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=4:5 and b : c=2:3, then a : c (a) 4:3 (b) 8: 15 (c) 8:9 (d) 5:3

If a : b=3:4, then 4a :3b= (a) 4:3 (b) 3:4 (c) 1:1 (d) None of these

|-|-7|-3| is equal to (a) -7 (b) 7 (c) 10 (d) -10

If a-b=-8\ \ a n d\ \ a b=-12 , then a^3-b^3=? (a) -244 (b) -240 (c) -224 (d) -260

If 343 is the third proportional of a and b , where a : b=1:7, then the value of a+b is (a) 14 (b) 24 (c) 56 (d) 63

If x^3-3x^2+3x+7=(x+1)(a x^2+b x+c),\ then a+b+c= (a)4 (b) 12 (c) -10\ (d) 3

If 24. 125=24+A/(10)+B/(100)+C/(1000), then A+B+C= (a) 3 (b) 6 (c) 13 (d) 8

In the adjacent figure, if A B=12 c m ,\ \ B C=8c m and A C=10 c m , then A D= (a) 5cm (b) 4cm (c) 6cm (d) 7cm

In an acute triangle A B C , if the coordinates of orthocentre H are (4,b) , of centroid G are (b ,2b-8) and of circumcenter S are (-4,8) , then b cannot be (a) 4 (b) 8 (c) 12 (d) -12

If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x in (a , b)uu(c , d) then (a) a+b+c+d=1 (b) a+b+c+d=2 (c) a b c d=12 (d) a b+c d=7

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let * be a binary operation on set of integers I , defined by a*b=2a...

    Text Solution

    |

  2. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z ...

    Text Solution

    |