Home
Class 12
MATHS
Supose z(1),z(2),z(3) are vertices of an...

Supose `z_(1),z_(2),z_(3)` are vertices of an equilateral triangle in an argand plane inscribed in the circle `|z|=2`. If `z_(1)=1-isqrt(3),z_(2)=a+ib,z_(3)=c+id`,
wher `a,b,c in R` and `a gtc`, then `|3a+d-c|` to

Text Solution

Verified by Experts

The correct Answer is:
`5.00`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 72

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3) are vertices of an equilateral triangle inscribed in the circle |z|=2 and if z_(1)=1+iota sqrt(3), then

If z_(1),z_(2),z_(3) be vertices of an equilateral triangle occurig in the anticlockwise sense, then

Suppose z_(1), z_(2), z_(3) are vertices of an equilateral triangle whose circumcentre -3 + 4i, then |z_(1) + z_(2) + z_(3)| is equal to

Let A(z_(1)),B(z_(2)),C(z_(3)) be the vertices of an equilateral triangle ABC in the Argand plane, then the number (z_(2)-z_(3))/(2z_(1)-z_(2)-z_(3)) , is

If the points A(z),B(-z) and C(z+1) are vertices of an equilateral triangle then

If the points z_(1),z_(2),z_(3) are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?

Q.Let z_(1),z_(2),z_(3) be three vertices of an equilateral triangle circumscribing the circle |z|=(1)/(2), if z_(1)=(1)/(2)+sqrt(3)(i)/(2) and z_(1),z_(2),z_(3) are in anticlockwise sense then z_(2) is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 71-MATHEMATICS
  1. The value of lim(theta topi)[(sec^(2)theta+12sec theta+11)/(sec theta+...

    Text Solution

    |

  2. If A,B in R such that the function f(x) is {((pi),If x in[0,4]),(B "...

    Text Solution

    |

  3. int(dx)/(x^(2)(x^(n)+1)^((n-1)/n))=-(f(x))^(1/n)+C, then f(x) is

    Text Solution

    |

  4. let k=tan^(-1)(("sin"(pi)/18+"sin"(2pi)/18)/("cos(pi)/18+"cos"(2pi)/18...

    Text Solution

    |

  5. The area bounded by the lines y=2,x=1,x=a and the curve y=f(x), which ...

    Text Solution

    |

  6. If 8 cos y=(4x^(2)+4x+7)/(x^(2)+x+1), x in R then the range of sin^(2)...

    Text Solution

    |

  7. If the equations x^(3)+bx^(2)+cx+1=0, (blt c) has only one rea root al...

    Text Solution

    |

  8. A data has highest value 120 and lowest value 71. A frequency distrib...

    Text Solution

    |

  9. If (x+y)^(2)(dy)/(dx)=a^(2),y=0 when x=0, then y=a the value of x/a is...

    Text Solution

    |

  10. If A and b are any two sets, then Ann(AnnB) is equal to

    Text Solution

    |

  11. If the coefficients of 2nd, 3rd and 4th terms in the binomial expansio...

    Text Solution

    |

  12. If I=[(1,-tan theta),(tan theta,1)][(1, tan theta),(-tan theta, 1)]^(-...

    Text Solution

    |

  13. Consider two real valued functions f(x) & g(x) satisfy the equations ...

    Text Solution

    |

  14. Let P be a point be a point in the first octant, whose image Q in the...

    Text Solution

    |

  15. If veca,vecb,vecc are three non coplanar vector such that [veca+vecb...

    Text Solution

    |

  16. Supose z(1),z(2),z(3) are vertices of an equilateral triangle in an ar...

    Text Solution

    |

  17. Find int(0)^(100)3{sqrt(x)}dx, where {x} denotes the fractional part o...

    Text Solution

    |

  18. If the circle x^(2)+y^(2)+2x-2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

    Text Solution

    |

  19. The point P(a^(2),a+1) lis in the angle between the two given lines, ...

    Text Solution

    |

  20. If the first three consecutive terms of a GP are the real roots of the...

    Text Solution

    |