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

If `alpha,beta` are the roots of the quadratic equation `a x^2+b x+c=0` , then which of the following expression will be the symmetric function of roots a. `|log(alpha/beta)|` b. `alpha^2beta^5+beta^2alpha^5` c. `t a n(alpha-beta)` d. `(log(1/alpha))^2+(logbeta)^2`

A

`|"log"(alpha)/(beta)|`

B

`alpha^(2) beta^(5) + beta ^(2) alpha ^(5)`

C

`tan (alpha - beta)`

D

`("log"(1)/(alpha))^(2)+ (log beta)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
1,2,4
Symmetric functions are those which do not change by
interc
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise Linked Comprechension Type|37 Videos

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise MATRIX MATCH TYPE|6 Videos

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise Single Correct Answer Type : Exercise|89 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE)|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

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 are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

If alpha,beta are the roots of the quadratic equation x^2+ax+b=0 , (bne0) , then the quadratic equation whose roots are alpha-1/beta,beta-1/alpha is

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

If alpha and beta are the roots of the equation x^2+x+1=0 , then the equation whose roots are alpha^19 and beta^7 is

If alpha and beta are the roots of the equation x^2 + x + 1=0 , then me equation whose roots are alpha^(19) and beta^(7) is:

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 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 roots of ax^2+bx+c =0. Find the quadratic equation whose roots are : 2alpha,2beta

CENGAGE PUBLICATION-THEORY OF EQUATIONS-Multiple Correct Answer Type
  1. If c ne 0 and the equation (p)/(2x)=(a)/(x+c)+(b)/(x-c) has two equal ...

    Text Solution

    |

  2. If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...

    Text Solution

    |

  3. If one root of the quadratic equation px^2 +qx + r = 0 (p != 0) is a s...

    Text Solution

    |

  4. If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0...

    Text Solution

    |

  5. the roots of the equation (a+sqrt(b))^(x^2-15)+(a-sqrt(b))^(x^2-15)=2a...

    Text Solution

    |

  6. If the equations x^2+p x+q=0 and x^2+p^(prime)x+q^(prime)=0 have a com...

    Text Solution

    |

  7. If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e...

    Text Solution

    |

  8. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |

  9. If cos^4theta+alpha are the roots of the equation x^2+2b x+b=0a n dcos...

    Text Solution

    |

  10. If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roo...

    Text Solution

    |

  11. If every pair of equations x^2+ax+bc=0, x^2+bx+ca=0 and x^2+cx+ab=0 ha...

    Text Solution

    |

  12. If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...

    Text Solution

    |

  13. If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

    Text Solution

    |

  14. If the equation whose roots are the squares of the roots of the cubic ...

    Text Solution

    |

  15. If f(x) is a polynomial of degree 4 with rational coefficients a...

    Text Solution

    |

  16. Roots of this equation are,(x^3+1/x^3)+(x^2+1/x^2)-6(x+1/x)-7=0

    Text Solution

    |

  17. 2x^2+6xy+5y^2=1, then

    Text Solution

    |

  18. If f(x) = ax^(2) + bx + c , where a ne 0, b ,c in R , then which ...

    Text Solution

    |

  19. If (x^(2) + 5)/(2) = x - 2 cos (m + n) has at least one real root, t...

    Text Solution

    |

  20. Let three quadratic equations ax^(2) - 2bx + c = 0, bx^(2) - 2 cx + a...

    Text Solution

    |