Home
Class 12
MATHS
If the equation ax^(2) + bx + c = 0 and...

If the equation `ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0` have a common root, then a : b : c

A

`1 : 2 : 3`

B

`2 : 3 : 4`

C

`4 : 3 : 2`

D

`3 : 2 : 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

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

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a common root, then

Suppose a, b , c in R . If the equations ax^(2) + bx + c = 0 and 4x^(2) + 4x + 5 . 52 = 0 have a common root, then (c)/(a) is equal to ______

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

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

Let a, b, c be real numbers such that ax^(2) + bx + c = 0 and x^(2) + x + 1 = 0 have a common root. Statement-1: a = b = c Staement-2: Two quadratic equations with real coefficients cannot have only one imainary root common.

If the equations ax^(2) +2bx +c = 0 and Ax^(2) +2Bx+C=0 have a common root and a,b,c are in G.P prove that a/A , b/B, c/C are in H.P

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ...

    Text Solution

    |

  2. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  3. If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a co...

    Text Solution

    |

  4. The sum of the roots of the equation x^(2) + |2x - 3| + 4 = 0, is

    Text Solution

    |

  5. If alpha and beta are roots of the equation x^2-4sqrt2kx + 2e^(4 Ink)-...

    Text Solution

    |

  6. The number of solutions of sqrt(3x^(2)+x+5)=x-3 is

    Text Solution

    |

  7. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

  8. If 2+3i is one of the roots of the equation 2x^3-9x^2 + kx-13 = 0, k e...

    Text Solution

    |

  9. If the two roots (a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0 are real and dist...

    Text Solution

    |

  10. The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^...

    Text Solution

    |

  11. If the equations x^2+bx-1=0 and x^2+x+b=0 have a common root different...

    Text Solution

    |

  12. If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1 (x >=1/2...

    Text Solution

    |

  13. Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y...

    Text Solution

    |

  14. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

    Text Solution

    |

  15. Let p(x) be a quadratic polynomial suchthat p(0) = 1. If p(x) leaves...

    Text Solution

    |

  16. The sum of all the real values of x satisfying the equation 2^((x-1)(x...

    Text Solution

    |

  17. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  18. v22

    Text Solution

    |

  19. Let p,q and r be real number (p ne q, r ne 0) such that the roots of ...

    Text Solution

    |

  20. If f(x) is a quadratic expression such that f(1) + f(2) = 0, and -1 is...

    Text Solution

    |