Home
Class 11
MATHS
If 0ltaltbltc and the roots alpha,beta o...

If `0ltaltbltc` and the roots `alpha,beta` of equation `a"" x^2+b""x+c="0` are imaginary, then `|alpha|="|beta|` (b)`|alpha|>1` `|beta|<1` (d) None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

  • CONIC SECTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If alpha and beta ( alpha'<'beta') are the roots of the equation x^2+b x+c=0, where c<0

If alpha, beta are roots of the equation 2x^2 + 6x + b = 0 (b < 0), then alpha/beta+beta/alpha is less than

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

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

If alpha and beta are the roots of the equation ax^2 + bx +c =0 (a != 0; a, b,c being different), then (1+ alpha + alpha^2) (1+ beta+ beta^2) =

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

If alpha,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?

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

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

RESONANCE DPP ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...

    Text Solution

    |

  2. If z1=a+ib and z2=c+id are two complex numbers where a,b,c,d in R and...

    Text Solution

    |

  3. The centre of a square is at the point with complex number z0=1+i and...

    Text Solution

    |

  4. Intercept made by the circle z z +a+a z+r=0 on the real axis on comp...

    Text Solution

    |

  5. The triangle formed by the complex numbers z, iz , i^2z is :

    Text Solution

    |

  6. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

    Text Solution

    |

  7. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

    Text Solution

    |

  8. The reflection of the complex number (2-i)/(3+i) , (where i=sqrt(-1) ...

    Text Solution

    |

  9. If 0ltaltbltc and the roots alpha,beta of equation a"" x^2+b""x+c="0 a...

    Text Solution

    |

  10. A,B and C are the points respectively the complex numbers z(1),z(2) an...

    Text Solution

    |

  11. ((-1+isqrt(3))/2)^6+((-1-isqrt(3))/2)^6+((-1+isqrt(3))/2)^5+((-1-isqrt...

    Text Solution

    |

  12. The statement (a+i b)<(c+i d) is true for a^2+b^2=0 (b) b^2+d^2=0 ...

    Text Solution

    |

  13. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

    Text Solution

    |

  14. If alpha,betaandgamma are the cube roots of P(p)lt0), then for any x, ...

    Text Solution

    |

  15. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

    Text Solution

    |

  16. If z and w are two complex number such that |z w|=1 and a rg(z)-a rg(...

    Text Solution

    |

  17. If z!=0 be a complex number and a rg(z)=pi/4, then R e(z)=I m(z)on l ...

    Text Solution

    |

  18. The centre of a square ABCD is at z0dot If A is z1 , then the centroid...

    Text Solution

    |

  19. The continued product of all values of (cosalpha+isinalpha)^(3/5) is 1...

    Text Solution

    |

  20. The number of 15th roots of unity which are also the 25th root of u...

    Text Solution

    |