Home
Class 12
MATHS
If the cubic polynomials x^3+a x^2+11 x+...

If the cubic polynomials `x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8` may have a common factor of the form `x^2+p x+q , then, (a) a + p=b + q (b) ap < bq (c) `pq divide ab` (d) `p + q divides a + b`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may have a common factor of the form x^2+p x+q , then (a+p=b+q (b) a p

Find a and b so that x^3+ax^2+11x+6 and x^3+bx^2+14x+8 may have one common factor of the form x^2+px+q .

If the expression x^(2) - 11x + a and x^(2) - 14 x + 2a have a common factor, then the values of 'a' are

IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)

Find the greatest common factors of the monomials 6x^3a^2b^2c ,\ 8x^2\ a b^3\ c^3

If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots and the other roots of the second equation is the reciprocal of the other roots of the first, then (2-2b)^2 . a. 36p a(q-b)^2 b. 18p a(q-b)^2 c. 36b q(p-a)^2 d. 18b q(p-a)^2

If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to

If (x^2- 3x + 2) is a factor of x^4-px^2+q=0 , then the values of p and q are

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the equations of bi sectors of the angle between the lines 4x + 3...

    Text Solution

    |

  2. Let P ("sin" theta, "cos"theta),(0 le theta le 2pi), be apoint in a tr...

    Text Solution

    |

  3. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  4. Statement-1 :Perpendicular from origin O to the line joining the point...

    Text Solution

    |

  5. STATEMENT-1 Three perpendicular bisectors of the sides of an acute a...

    Text Solution

    |

  6. Find the equations of the line parallel to 5x-12y+26=0 and at a distan...

    Text Solution

    |

  7. If alpha&beta are the roots of the quadratic equation a x^2+b x+c=0 ...

    Text Solution

    |

  8. Match the column Column I, Column II If x=3,t h e n(log)4(2(log)3(1...

    Text Solution

    |

  9. The positive integers p ,q and r all are prime if p^2-q^2=r , then pos...

    Text Solution

    |

  10. If x , y , z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

    Text Solution

    |

  11. Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2)...

    Text Solution

    |

  12. The equation x-8/(|x-3|)=3-8/(|x-3|) has (a)only one solution (b) infi...

    Text Solution

    |

  13. The solution set of equation |2x+3|-|x-1| =6, is

    Text Solution

    |

  14. The number of integral solution of (x^(2)(3x-4)^(3)(x-2)^(4))/(In(2x-1...

    Text Solution

    |

  15. If A+B+C=0 , then the value of sin^2A+cosC(cosAcosB-cosC)+cosB(cosAcos...

    Text Solution

    |

  16. If x=3-sqrt(8), then x^3+1/(x^3) is equal to (a)6 (b) 198 (c) 6sqrt(2)...

    Text Solution

    |

  17. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  18. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  19. If A , B , C are three real numbers and p=[A+B+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  20. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |