Home
Class 12
MATHS
If x^2+3x+5=0a n da x^2+b x+c=0 have com...

If `x^2+3x+5=0a n da x^2+b x+c=0` have common root/roots and `a ,b ,c in N ,` then find the minimum value of `a+b+ c dot`

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-1 (PART -II: RMO) |9 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-I: PREVIOUS ASKED QUESTION FOR PRE RMO) |26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise SELF PRACTICE PROBLEMS: |23 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

Similar Questions

Explore conceptually related problems

If a x^2+b x+c=0 and b x^2+c x+a=0 have a common root and a, b, and c are nonzero real numbers, then find the value of (a^3+b^3+c^3)//a b c

If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a common positive root, then find the values of aa n dbdot

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

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

If the equation x^2+ax+bc=0" and " x^2-bx+ca=0 have a common root, then a+b+c =

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

If a_1x^2 + b_1 x + c_1 = 0 and a_2x^2 + b_2 x + c_2 = 0 has a common root, then the common root is

If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If x=1a n dx=2 are solutions of equations x^3+a x^2+b x+c=0a n da+b=1, then find the value of bdot

RESONANCE ENGLISH-EQUATIONS -EXERCISE-1 (PART -1: PRE RMO)
  1. If the two equations x^2 - cx + d = 0 and x^2- ax + b = 0 have one com...

    Text Solution

    |

  2. If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in ...

    Text Solution

    |

  3. If x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d the real root of ax^(3...

    Text Solution

    |

  4. If roots of equation 2x^(4) - 3x^(3) + 2x^2 - 7x -1 = 0 are alpha, bet...

    Text Solution

    |

  5. If two roots of the equation x^3 - px^2 + qx - r = 0 are equal in magn...

    Text Solution

    |

  6. If alpha, beta, gamma are the roots of the equation x^3 + px^2 + qx +...

    Text Solution

    |

  7. If the inequality (m-2)x^(2) + 8x + m + 4 gt 0 is satisfied for all x ...

    Text Solution

    |

  8. The real values of 'a' for which the quadratic equation 2x^2 - (a^3 + ...

    Text Solution

    |

  9. If a, p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 ...

    Text Solution

    |

  10. If alpha, beta are the roots of the quadratic equation x ^(2)+ px+q=0...

    Text Solution

    |

  11. Each root of the equation ax^2 + bx + c = 0 is decreased by 1. The qua...

    Text Solution

    |

  12. x,y,z are distinct real numbers such that x+1/y = y + 1/z =z + 1/x Th...

    Text Solution

    |

  13. A hare sees a hound 100 m away from her and runs off in the opposite d...

    Text Solution

    |

  14. a and b are positive integers that a^(2) + 2b = b^(2) + 2a +5. The val...

    Text Solution

    |

  15. a ne 0, b ne 0. The number of real number pair (a, b) which satisfy t...

    Text Solution

    |

  16. The value of root(3)(5+2sqrt(13)) + root(3)(5-2sqrt(13)) is= ……………..

    Text Solution

    |

  17. If a, b, c, d satisfy the equation a + 7b + 3c + 5d = 0, 8a + 4b + 6c ...

    Text Solution

    |

  18. The combined age of a man and his wife is six times the combined ages ...

    Text Solution

    |

  19. If (x+1)^(2) =x, the value of 11x^(3) + 8x^(2) + 8x -2 is:

    Text Solution

    |

  20. If a=2012, b=-1005, c=-1007, then the value of a^(4)/(b+c) +b^(4)/(c+a...

    Text Solution

    |