Home
Class 12
MATHS
If alpha, beta are the roots of the quad...

If `alpha, beta` are the roots of the quadratic equation `x^(2)+px+q=0`, then the vlaues of `alpha^(3)+beta^(3) and alpha^(4) +alpha^(2)beta^(2)+beta^(4)` are respectively

A

`3pq-p^(3) and p^(4)-3p^(2)q+3q^(2)`

B

`-p (3q-p^(2)) and (p^(2)-q)(p^(2)+3q)`

C

`pq-4 and p^(4) -q^(4)`

D

`3pq-p^(3) and (p^(2)-q)(p^(2)-3q)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the quadratic equation x^(2)+px+q=0 ,then the values of alpha^(3)+beta^(3)andalpha^(4)+alpha^(2)beta^(2)+beta^(4) are respectively .

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

If alphaandbeta be the roots of the quadratic equation x^(2)-px+q=0 , then determine the value of (alpha^(5)beta^(7)+alpha^(7)beta^(5)) in terms of p and q.

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

If alpha , beta , gamma are the roots of the equation px^3 - qx + r = 0 , then the value of alpha + beta + gamma is

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alpha,beta be the two roots of the equation x^2+x+1 =0, then the equation whose roots are alpha/beta and beta/alpha is

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

    Text Solution

    |

  2. A fair six-faced die is rolled 12 times. The probability that each fac...

    Text Solution

    |

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

    Text Solution

    |

  4. The solution of the differential equation (dy)/(dx)+(y)/(x log(e )x)...

    Text Solution

    |

  5. Let f(x) = max {x+|x|, x-[x]}, where [x] denotes the greatest integer ...

    Text Solution

    |

  6. Let X(n)={z=x+iy:|z|^(2) le (1)/(n)} for all integers n ge 1. Then cap...

    Text Solution

    |

  7. Applying Lagrange's Mean Value Theorem for a suitable function f(x) is...

    Text Solution

    |

  8. The equation of hyperbola whose coordinates of the foci are (pm8,0) a...

    Text Solution

    |

  9. A student answers a multiple choice question with 5 alternatives, of ...

    Text Solution

    |

  10. "cos"(2pi)/(7) +"cos"(4pi)/(7)+"cos"(6pi)/(7)

    Text Solution

    |

  11. Suppose M= int(0)^(pi//2) (cos x)/(x+2) dx, N=int(0)^(pi//4) (sinx" "c...

    Text Solution

    |

  12. For any two real numbers theta and varphi, we define thetaR varphi if ...

    Text Solution

    |

  13. The minimum value of 2^(sinx)+2^(cosx) is

    Text Solution

    |

  14. We define a binary relation ~ on the set of all 3 xx 3 real matrices a...

    Text Solution

    |

  15. Let alpha, beta denote the cube roots of unity other than 1 and alpha ...

    Text Solution

    |

  16. Let t(n) denote the nth term of the infinite series (1)/(1!) +(10)/(2!...

    Text Solution

    |

  17. A particle starting from a point A and moving with a positive constant...

    Text Solution

    |

  18. A poker hand consists of 5 cards drawn at random from a well-shuffled ...

    Text Solution

    |

  19. If u(x) and v(x) are two independent solutions of the differential equ...

    Text Solution

    |

  20. The angle of intersection between the curves y=[|sinx| +|cosx|] and x^...

    Text Solution

    |