Home
Class 12
MATHS
If a,b,c, in R and equations ax^(2) + bx...

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

A

`a:b:c=1:2:9`

B

`a:b:c=9:2:4`

C

`a:b:c=9:2:1`

D

`a:b:c=2:1:9`

Text Solution

Verified by Experts

The correct Answer is:
A
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 the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a common root, then

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

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 the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

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+3=0 have a common a rot,then find a:b:c

If a,b,c in R and the equation ax^(2)+bx+c=0 and x^(2)+x+1=0 have a common root,then

RESONANCE-DPP-QUESTION
  1. The inequation sqrt(f(x)) gt g(x), is equivalent to the

    Text Solution

    |

  2. The value of sintheta + sin3theta +sin5theta + "….."+ sin(2n-1)theta i...

    Text Solution

    |

  3. If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0...

    Text Solution

    |

  4. Prove that cos theta* cos 2theta* cos2^(2)theta * cos2^(3)theta x... ...

    Text Solution

    |

  5. The graph of y = f|x| is given below The graph y = |f(x)|

    Text Solution

    |

  6. ((cos15^(@)-sin15^(@)+1)/(cos15^(@)+sin15^(@)+1))((1+sin15^(@))/(cos15...

    Text Solution

    |

  7. Which of the following is true :

    Text Solution

    |

  8. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  9. Which of the followintg is true if A+B+C = pi

    Text Solution

    |

  10. If a1x^2 + b1 x + c1 = 0 and a2x^2 + b2 x + c2 = 0 has a common root...

    Text Solution

    |

  11. The average value of sin2^@,sin4^@, sin6^@.........sin180^@ is (i) 1...

    Text Solution

    |

  12. Find maximum and minimum values of 9cos^(2)x + 48 sinx cosx - 5 sin^...

    Text Solution

    |

  13. Find maximum and minimum values of 2sin(theta+(pi)/(6))+sqrt(3)cos(the...

    Text Solution

    |

  14. Solve (tan3x-tan2x)/(1+tan3xtan2x ')=1

    Text Solution

    |

  15. If tan alpha, tan beta, tangamma are the roots of the equation, x^3- ...

    Text Solution

    |

  16. Value of (4\ sin 9^@ sin 21^@ sin 39^@ sin 51^@ sin 69^@ sin 81^@)/(si...

    Text Solution

    |

  17. The graph of y = f(x) is given below then the graph y = |f(|x|)| ...

    Text Solution

    |

  18. If a,b,c are distinct positive numbers in H.P. then which of the relat...

    Text Solution

    |

  19. If the sum of first 100 terms of an arithmetic progression is - 1 and ...

    Text Solution

    |

  20. If the solution of the equation (x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2...

    Text Solution

    |