Home
Class 11
MATHS
If a x^3+b x^2+c x+d is divisible by a x...

If `a x^3+b x^2+c x+d` is divisible by `a x^2+c ,t h e na ,b ,c ,d` are in a. A.P. b. G.P. c. H.P. d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^2+2e x+f=0 have a common root if d/c , e/b ,f/c are in a. A.P. b. G.P. c. H.P. d. none of these

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are a. A.P. b. G.P. c. H.P. d. none of these

If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in a. H.P. b. G.P. c. A.P. d. none of these

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are in (a). A.P. (b). G.P. (c). H.P. (d). none of these

In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

    Text Solution

    |

  2. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  3. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

    Text Solution

    |

  4. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

    Text Solution

    |

  5. In a geometric series, the first term is a and common ratio is rdot If...

    Text Solution

    |

  6. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

    Text Solution

    |

  7. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then y=2...

    Text Solution

    |

  8. If A.M., G.M., and H.M. of the first and last terms of the series of 1...

    Text Solution

    |

  9. The sum 1+3+7+15+31+...to100 terms is a. 2^(100)-102 b. 2^(99)-101 c...

    Text Solution

    |

  10. In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP wh...

    Text Solution

    |

  11. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

    Text Solution

    |

  12. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

    Text Solution

    |

  13. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

    Text Solution

    |

  14. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then val...

    Text Solution

    |

  15. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is a. 7//16 b. 5//16 ...

    Text Solution

    |

  16. The sum 20 terms of a series whose rth term is given by Tr=(-1)^r((r^2...

    Text Solution

    |

  17. Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th te...

    Text Solution

    |

  18. If a ,1/b ,c and1/p ,q ,1/r form two arithmetic progressions of the c...

    Text Solution

    |

  19. Suppose that F(n+1)= (2F(n)+1)/2 'for n=1,2,3 a n dF(1)=2. T h e ndot...

    Text Solution

    |

  20. In an A.P. of which a is the first term if the sum of the first p term...

    Text Solution

    |