Home
Class 12
MATHS
If alpha" and "beta are the roots of x^(...

If `alpha" and "beta` are the roots of `x^(2)-ax+b^(2)=0`, then `alpha^(2)+beta^(2)` is equal to

A

`a^(2)+2b^(2)`

B

`a^(2)-2b^(2)`

C

`a^(2)-2b`

D

`a^(2)+2b`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2) + x + 1 = 0, then alpha^(2020) + beta^(2020) is

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If alpha and beta are the roots of equation x^(2)-4x+1=0 , find (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3)

Let alpha and beta two roots of the equatins x^(2)+2x+2=0. then alpha^(15)+beta^(15) is equal to

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

If alpha and beta are the roots of 2x^(2) – 3x -4 = 0 find the value of 2 alpha^(2)+ beta^(2)

If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (sin (alpha + beta))/(sin alpha sin beta) is equal to

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

If alpha" and "beta are the roots of the equation x^(2)+3x-4=0 , then (1)/(alpha)+(1)/(beta) is equal to

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

    Text Solution

    |

  2. If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...

    Text Solution

    |

  3. If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...

    Text Solution

    |

  4. If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...

    Text Solution

    |

  5. The value of x such that 3^(2x)-2(3^(x+2))+81=0 is

    Text Solution

    |

  6. If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...

    Text Solution

    |

  7. The equation whose roots are the squares of the roots of the eqation 2...

    Text Solution

    |

  8. z and omega are two nonzero complex number such that |z|=|omega|" and ...

    Text Solution

    |

  9. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  10. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  11. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  12. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |

  13. Product of real roots of the equation x^(2)+|x|+9=0

    Text Solution

    |

  14. If p and q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  15. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

    Text Solution

    |

  16. The value of a for which one root of the quadratic equation (a^(2)-5a+...

    Text Solution

    |

  17. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...

    Text Solution

    |

  18. The number of real solution of the equation x^(2)-3|x|+2=0 is

    Text Solution

    |

  19. If ((1+i)/(1-i))^(x)=1, then

    Text Solution

    |

  20. If z and omega are two non-zero complex numbers such that |z omega|=1"...

    Text Solution

    |