Home
Class 12
MATHS
The smallest integral value of a such th...

The smallest integral value of a such that `|x+a-3|+|x-2a|=|2x-a-3|` is true `AA x in R` is

A

`0`

B

`1`

C

`2

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

The smallest value of M such that |x^(2)-3x+2|<=M for all x in [1,(5)/(2)]

The smallest value of the function f(x)=3|x+1|+|x|+3|x-1|+2|x-3|

Find the smallest integral value of x satisfying (x-2)^(x^(2)-6x+8))>1

Find the smallest integral value of x satisfying (x-2)^(x^(2)-6x+8) gt 1 .

Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral value of k for which f (x) le k AA x in R is

Let f(x)=2x^(3)+3(1-3a)x^(2)+6(a^(2)-a)x+b where a,b in R. Find the smallest integral value of a for which f(x) has a positive point of local maximum.

The smallest positive integral value of y=(x^(2)+x+7)/(x+2) is

Number of integral values of 'a' for which (a-1)x^(2)+(a-1)x+1>=0AA x in R ,is ?

Let f(x)=|x-1|+|x-2|+|x-3|+|x-4|AA x in R Then

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. If a!=0 then complete set of solution of (x^2-2x+2^(|x|))/(x^2-a^2)>0 ...

    Text Solution

    |

  2. The complete set of soluton of equation |1-(|x|)/(1+|x|)|=(1)/(2) is {...

    Text Solution

    |

  3. The smallest integral value of a such that |x+a-3|+|x-2a|=|2x-a-3| is ...

    Text Solution

    |

  4. Number of positive integral solution of the equation |x^(2)-3x-3| gt |...

    Text Solution

    |

  5. If (x^(2)-2|x|)(|2x|-2)-9((2|x|-2)/(x^(2)-2|x|)) le0 then

    Text Solution

    |

  6. Number of solution pair of equations y=||x|-2|-2| and y=(x+2)/2equals ...

    Text Solution

    |

  7. For making graph of equations |y|=|f(|x|)| through y=f(x) which order ...

    Text Solution

    |

  8. The sum of all the integral values of a {where a in (-10, 10)} such th...

    Text Solution

    |

  9. Complete set of solution of inequation (3)/(sqrt(2-x))-sqrt(2-x) lt 2 ...

    Text Solution

    |

  10. Complete set of solution of inequation sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)...

    Text Solution

    |

  11. Complete set of solution of inequation sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt...

    Text Solution

    |

  12. If loga a. logc a +logc b. loga b + loga c. logb c=3 (where a, b, c ar...

    Text Solution

    |

  13. Let alpha,beta, are two real solution of equation (log(10)x)^2 + log(1...

    Text Solution

    |

  14. Let a, b, c, d are positive integer such that log(a)b=3//2 and log(c)d...

    Text Solution

    |

  15. The range of real values of 'p' for which the equation 2log3^2 x-|log...

    Text Solution

    |

  16. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  17. The least positive integer x, which satisfies the inequality log(log(x...

    Text Solution

    |

  18. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

    Text Solution

    |

  19. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

    Text Solution

    |

  20. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

    Text Solution

    |