Home
Class 12
MATHS
If 2x^(3)-5x^(2)+x+2=(x-2)(ax^(2)-bx-1),...

If `2x^(3)-5x^(2)+x+2=(x-2)(ax^(2)-bx-1),` then a & b are respectively :

A

`2,1`

B

`2,-1`

C

`1,2`

D

`-1,1//2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

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

Similar Questions

Explore conceptually related problems

If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the values of a and b respectively.

If (5x+6)/((2+x)(1-x))=a/(2+x)+b/(1-x) , then the values of a and b respectively are:

If f (x) =ax ^(2) + bx + 2 and f (1) =3, f (4) =42, then a and b respectively are

If the coefficient of x^(8) in (ax^(2) + (1)/( bx) )^(13) is equal to the coefficient of x^(-8) in (ax- (1)/( bx^(2) ) )^(13) , then a and b will satisfy the relation

(7x^(3)+3x^(2)-x+1)/(x+1)=(ax^(2)+bx+c)-(2)/(x+1)

The HCF of the polynomials (2x - 1) (5x^(2) -ax + 3) and (x -3) (2x^(2) + x +b) " is " (2x -1) (x -3) Then the values of a and b respectively are _____

If (x ^(2) + x - 2) is the HCF of the expressions (x - 1) (2x ^(2) + ax +2) and (x +2) (3x ^(2) + bx +1), then find the valued of a and b.

If lim_(x to 1) (ax^(2)+bx+c)/((x-1)^(2))=2 , then (a, b, c) is

If the coefficient of x^8 in (ax^2 + (1)/(bx))^13 is equal to the coefficient of x^(-8) in (ax - (1)/(bx^2))^13 , then a and b will satisfy the relation :

RESONANCE-DPP-QUESTION
  1. In algebra, the determinant is useful value that can be computer from ...

    Text Solution

    |

  2. If (x-a) is factro fo x^(3)-a^(2)x+x+2, then 'a' is equal to

    Text Solution

    |

  3. If 2x^(3)-5x^(2)+x+2=(x-2)(ax^(2)-bx-1), then a & b are respectively :

    Text Solution

    |

  4. If x, y are rational numbers such that (x+y)+(x-2y)sqrt(2)=2x-y+(x-y-1...

    Text Solution

    |

  5. Write the following sets in Roaster form : (i) A={x:x" is a natural ...

    Text Solution

    |

  6. Write of the following sets in the set builder from : {:((i),{1},(ii...

    Text Solution

    |

  7. Are the following of sets equal ? (i) {x:x is a letter in the word '...

    Text Solution

    |

  8. If x/a=y/b=z/c, then show that (x^3+a^3)/(x^2+a^2)+(y^3+b^3)/(y^2+b^2)...

    Text Solution

    |

  9. If |{:(x^(2)-2x+3,7x+2,x+4),(2x+7,x^(2)-x+2,3x),(3,2x-1,x^(2)-4x+7):}|...

    Text Solution

    |

  10. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9=9/N (b) N^9=9/M M^...

    Text Solution

    |

  11. (log)3(1+1/3)+(log)3(1+1/4)+(log)3(1+1/5)+ddot+(log)3(1+1/(242)) when...

    Text Solution

    |

  12. Solve ((x-5)^(2)(x+2)^(3)(x-4))/((x-3)^(4))le0

    Text Solution

    |

  13. Which of the following sets are equal ? A={x:x inN,xlt4},B=(1,1,2,3,...

    Text Solution

    |

  14. Find the power set of the set {a,b,c}.

    Text Solution

    |

  15. Let A={1,2,3,5},B={1,2,3}andC={1,2,5}. Find all the sets X satisfying ...

    Text Solution

    |

  16. Let A={phi,{phi},2,{2,phi},3}, which of the following are true ? {:((...

    Text Solution

    |

  17. Remove the irrationality in the denominator sqrt((sqrt(2)-1)/(sqrt...

    Text Solution

    |

  18. Solve the following inequations {:((i),(x-2)/(x^(2)-9)lt0,(ii),(x+1)(...

    Text Solution

    |

  19. If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc = 3 then 1/a+1/b+1/c is equal t...

    Text Solution

    |

  20. If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x...

    Text Solution

    |