Home
Class 12
MATHS
Let z1 and z2 be the roots of z^2+ az +b...

Let `z_1 and z_2` be the roots of `z^2+ az +b=0`. If the origin, `z_1 and z_2` from an equilateral triangle, then

A

`a^(2) = 2b`

B

`a^(2) = 3b`

C

`a^(2) = 4b`

D

`a^(2) = b`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

If z_1 and z_2 are the roots of the equation z^2+az+12=0 and z_1 , z_2 forms an equilateral triangle with origin. Find absa

Let z_1,z_2 be the roots of the equation z^2+az+12=0 and z_1, z_2 form an equilateral triangle with origin. Then, the value of absa is ________ .

z_(1)andz_(2) are the roots of 3z^(2)+3z+b=0. if O(0),(z_(1)),(z_(2)) form an equilateral triangle,then find the value of b .

Let z_(1),z_(2) be the roots of the equation z^(2)+az+12=0 and z_(1),z_(2) form an equilateral triangle with origin. Then the value of |a| is

Let z_1 and z_2 be theroots of the equation z^2+az+b=0 z being complex. Further, assume that the origin z_1 and z_2 form an equilateral triangle then (A) a^2=4b (B) a^2=b (C) a^2=2b (D) a^2=3b

Let z_1 and z_2 be the roots of z^2+pz+q =0. Then the points represented by z_1,z_2 the origin form an equilateral triangle if p^2 =3q.

Let z_1 and z_2 be the roots of the equation 3z^2 + 3z + b=0 . If the origin, together with the points represented by z_1 and z_2 form an equilateral triangle then find the value of b.

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If ((1 +i)/(1 -i))^(x) =1, then n inN.

    Text Solution

    |

  2. If z and w are two complex number such that |zw|=1 and arg (z) – arg (...

    Text Solution

    |

  3. Let z1 and z2 be the roots of z^2+ az +b=0. If the origin, z1 and z2 f...

    Text Solution

    |

  4. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...

    Text Solution

    |

  5. If z = x - iy and z'^(1/3) = p +iq, then 1/(p^2+q^2)(x/p+y/q) is equal...

    Text Solution

    |

  6. If |z^2-1|=|z|^2+1, then z lies on (a) a circle (b) the imaginary ...

    Text Solution

    |

  7. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

    Text Solution

    |

  8. If w = z/(z-1/3i) and |w| =1, then z lies on

    Text Solution

    |

  9. If z1 and z2, are two non-zero complex numbers such that |z1+z2|=|z1|...

    Text Solution

    |

  10. sum(k=1)^10(sin(2kpi)/11+icos(2kpi)/11)

    Text Solution

    |

  11. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  12. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

    Text Solution

    |

  13. The conjugate of a complex number is 1/(i-1) . Then the complex num...

    Text Solution

    |

  14. If |z-4/z| = 2 , then the maximum value of |z|

    Text Solution

    |

  15. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  16. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

    Text Solution

    |

  17. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

  18. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  19. The area of the triangle on the Arand plane formed by the complex numb...

    Text Solution

    |

  20. If z is a complex number of unit modulus of modulus and argument thet...

    Text Solution

    |