Home
Class 12
MATHS
Suppose 1,2,3 are the roots of the equat...

Suppose 1,2,3 are the roots of the equation `x^4 + ax^2 + bx = c`. Find the value of c.

Text Solution

Verified by Experts

The correct Answer is:
36
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-1 (PART -II: RMO) |15 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE|Exercise Exercise|138 Videos

Similar Questions

Explore conceptually related problems

If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , then

If sin theta, cos theta are the roots of the equation ax^(2)+bx+c=0 then find the value of ((a+c)^(2))/(b^(2)+c^(2))

If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3 : 4 ,

If alpha and beta are the roots of the equation ax^2+bx+c=0 , find their values of the following expressions in terms of a, b and c. alpha^2beta^2

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0 , then what is the value of the expression (alpha + 1)(beta + 1) ?

If alpha and beta are roots of the equation ax ^(2) + bx + c, then find the value of the (1)/(alpha) + (1)/(beta).

If r and s are the roots of the equation ax^2+ bx + c= 0 , then the value of 1/r^2+1/s^2=

If the roots of the equation ax^(2)+bx+c=0 are equal then c=?

If alphaandbeta are the roots of the equation ax^(2)+bx+c=0 , then the value of 1/(aalpha+b)+1/(abeta+b) is

RESONANCE-EQUATIONS -EXERCISE-2 (PART-I: PREVIOUS ASKED QUESTION FOR PRE RMO)
  1. Let x(1),x(2) , x(3),..........x(2014) be real numbers different from ...

    Text Solution

    |

  2. If real numbers a, b, c, d, e satisfy a+1=b + 2 = c+ 3 = d + 4 = e + 5...

    Text Solution

    |

  3. The equations x^2 - 4x + k = 0 and x^2 + kx -4 = 0 where k is a real n...

    Text Solution

    |

  4. Let a, b and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b -...

    Text Solution

    |

  5. Let a, b and c be such that a + b + c= 0 and P=a^(2)/(2a^(2)+ bc) + b^...

    Text Solution

    |

  6. Suppose x^(2)-x +1 is factor of 2x^(6) - x^(5) + ax^(4) + x^(3)+bx^(2)...

    Text Solution

    |

  7. Let P(x) = (x - 3)(x - 4)(x - 5). For how many polynomials Q(x). does ...

    Text Solution

    |

  8. Find the sum of all those integers n for which n^2+20n+15 is the squar...

    Text Solution

    |

  9. Let a and p be the roots of equation x^2 + x - 3 = 0. Find the value o...

    Text Solution

    |

  10. Let x^3 + ax + 10 = 0 and x^3 + bx^2 + 50 = 0 have two roots in common...

    Text Solution

    |

  11. For real numbers x and y, let M be the maximum value of expression x^4...

    Text Solution

    |

  12. Between 5pm and 6pm, I looked at my watch mistaking the hour hand for ...

    Text Solution

    |

  13. Suppose a, b are positive real numbers such that asqrt(a) + b sqrt(b) ...

    Text Solution

    |

  14. Let a, b be integers such that all the roots of the equation (x^2 + ax...

    Text Solution

    |

  15. In a class, the total numbers of boys and girls are in the ratio 4 : 3...

    Text Solution

    |

  16. If the real numbers x, y, z are such that x^2 + 4y^2 + 16z^2 = 48 and ...

    Text Solution

    |

  17. Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx = c. Find ...

    Text Solution

    |

  18. Determine the sum of all possible positive integers n, the product of ...

    Text Solution

    |

  19. Suppose a, b are integers and a + b is a root of x^2 + ax + b = 0. Wha...

    Text Solution

    |

  20. Integers a, b, c satisfy a + b - c = 1 and a^2 + b^2 - c^2 = -1. What ...

    Text Solution

    |