Home
Class 14
MATHS
If 2a - 9 = b + a, then the value of (|...

If `2a - 9 = b + a`, then the value of `(|a - b| + |b - a|)` is :

A

18

B

11

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`therefore` 2a - 9 = b + 8a`
` rArr 2a - a = b + 9 `
` rArr a = b + 9 `
`rArr a - b = 9 or b - a = -9 `
`abs(a-b)+abs(b-a)=abs9+abs(-9) = 9 + 9 = 18`
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If a = 2b , then the value of (a+b)/(a-b) is :

If a = 2 and b = 8 , then find the value of b/a + 9

If a=2 ; b=3, then the value of (a^b + b^a)^(-b) is

If 2^a=3 and 9^b=4 then the value of a.b is

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The maximum value of the expression 27-abs(9x-8) is :

    Text Solution

    |

  2. The minimum value of the expression abs(17x-8)-9 is :

    Text Solution

    |

  3. If 2a - 9 = b + a, then the value of (|a - b| + |b - a|) is :

    Text Solution

    |

  4. The value of x for which the value of abs(3x+18) is minimum :

    Text Solution

    |

  5. 3/4 xx ((-2)/3 + 3/5) is equal to :

    Text Solution

    |

  6. The value of 4 xx 100 + 3 xx 10 + 9/1000 is:

    Text Solution

    |

  7. If x and y are positive real number, then :

    Text Solution

    |

  8. If x lt 0 lt y, then :

    Text Solution

    |

  9. On the set of integers I, if a binary operation 'o' be defined as aob ...

    Text Solution

    |

  10. If abs(x-2) lt 3 then :

    Text Solution

    |

  11. How many of the following relations is/are always true for any real va...

    Text Solution

    |

  12. Which of the following relations is NOT always true?

    Text Solution

    |

  13. A car moving at the speed of 36 km/hr crosses a bridge in 5 minutes. W...

    Text Solution

    |

  14. Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R.

    Text Solution

    |

  15. For the positive integers a, b, c find the minimum value of (-1)^a + (...

    Text Solution

    |

  16. In a test, conducted by Lamamia, a student attempted n problems out of...

    Text Solution

    |

  17. In a test, conducted by Lamamia, a student attempted n problems out of...

    Text Solution

    |

  18. factorize the following numbers into the prime factors 210

    Text Solution

    |

  19. factorize the following numbers into the prime factors 120

    Text Solution

    |

  20. factorize the following numbers into the prime factors 3315

    Text Solution

    |