Home
Class 12
MATHS
If a,b, c are in G.P., then the equation...

If a,b, c are in G.P., then the equations `ax^(2) + 2bx + c = 0 and dx^(2) + 2ex + f = 0` have common root if `(d)/(a), (e)/(b), (f)/(c)` are in

A

A.P

B

G.P.

C

H.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES LEVEL-2 (Single Correct Answer Type Questions)|11 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES CONCEPT-BASED (Single Correct Answer Type Questions)|15 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in GP, then the equations ax^(2)+2bx+c=0 and dx^(2)+2ex+f=0 have a common root if (d)/(a),(e)/(b),(f)/(c) are in

If a,b, and c are in G.P.then the equations ax^(2)+2bx+c=0 and dx^(2)+2ex+f=0 have a common root if (d)/(c),(epsilon)/(b) are in a.A.P.b. G.P..H.P.d.none of these

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. If a,b,c are in A.P and a^2, b^2, c^2 are in H.P then

    Text Solution

    |

  2. The mth term of an A. P. is n and nth term is m. Then rth term of it i...

    Text Solution

    |

  3. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

    Text Solution

    |

  4. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

    Text Solution

    |

  5. Suppose (1)/(2)x, lx,+1l,lx-1l,1l are in A.P., then sum to 10 terms of...

    Text Solution

    |

  6. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  7. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  8. If log(a+c)+log(a+c-2b)=2log(a-c) then

    Text Solution

    |

  9. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

    Text Solution

    |

  10. The common difference d of the A.P. in which T(7) = 9 and T(1)T(2)T(7)...

    Text Solution

    |

  11. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

    Text Solution

    |

  12. Sum of first 'n' terms of the series 3/2+5/4+9/8+17/16+...

    Text Solution

    |

  13. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  14. Find the sum series: tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo

    Text Solution

    |

  15. FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3...

    Text Solution

    |

  16. If n!, 3n! and (n-1)! are in G.P then n!, 5n! and (n+1)! are in

    Text Solution

    |

  17. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

    Text Solution

    |

  18. The sum of first 'n' terms of the series 1^2+(1)(2)+3^2+(3)(4)+5^2+(5)...

    Text Solution

    |

  19. If L = underset( n rarr oo)lim (1+3^(-1))(1+3^(-2))+(1+3^(-4))+(1+3^(-...

    Text Solution

    |

  20. If a1,a2,a3,.......an, are 'n', distinct odd natural numbers, not divi...

    Text Solution

    |