Home
Class 12
MATHS
If z(1), z(2) and z(3) are the vertices ...

If `z_(1), z_(2) and z_(3)` are the vertices of a triangle in the argand plane such that `|z_(1)-z_(2)|=|z_(1)-z_(3)|`, then `|arg((2z_(1)-z_(2)-z_(3))/(z_(3)-z_(2)))|` is

A

`(pi)/(3)`

B

0

C

`(pi)/(2)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 72

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 74

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3) are the vertices of an equilational triangle ABC such that |z_(1)-i|=|z_(2)- i| = |z_(3)-i|, then |z_(1)+z_(2)+z_(3)| equals to

z_(1),z_(2) and z_(3) are the vertices of a triangle ABC such that |z_(1)|=|z_(2)|=|z_(3)| and AB=AC. Then ((z_(1)+z_(3))(z_(1)+z_(2)))/((z_(2)+z_(3))^(2)) is

If z_1,z_2,z_3 are vertices of a triangle such that |z_1-z_2|=|z_1-z_3| then arg ((2z_1-z_2-z_3)/(z_3-z_2)) is :

If z_(1),z_(2) and z_(3) are the vertices of a right angledtriangle in Argand plane such that |z_(1)-z_(2)|=3,|z_(1)-z_(3)|=5 and z_(2) is the vertex with the right angle then

Let A(z_1),B(z_2) and C(z_3) be the vertices of an equilateral triangle in the Argand plane such that |z_1|=|z_2|=|z_3|. Then (A) (z_2+z_3)/(2z_1-z_2-z_3) is purely real (B) (z_2-z_3)/(2z_1-z_2-z_3) is purely imaginary (C) |arg(z_1/z_2)|=2 arg((z_3-z_2)/(z_1-z_2))| (D) none of these

If |z_(1)-1|<1,|z_(2)-2|<2|z_(3)-3|<3 then |z_(1)+z_(2)+z_(3)|

If z_(1),z_(2),z_(3) are the vertices of triangle such that |z_(1)-i|=|z_(2)-i|=|z_(3)-i| and z_(1)+z_(2)=3i-z_(3) then area of triangle is

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

NTA MOCK TESTS-NTA JEE MOCK TEST 73-MATHEMATICS
  1. The length of the radius of the circle which touches the x - axis at t...

    Text Solution

    |

  2. Let x(1),x(2),…x(n) be n observations such that Sigmax(i)^(2)=500 and ...

    Text Solution

    |

  3. Two vertical poles AL and BM of height 25 m and 100 m respectively sta...

    Text Solution

    |

  4. A multiple - choice question has 5 options of which only one is correc...

    Text Solution

    |

  5. If the line (x-1)/(1)=(y-k)/(-2)=(z-3)/(lambda) lies in the plane 3x+4...

    Text Solution

    |

  6. If a(1)^(2)+a(2)^(2)+a(3)^(2)=1, b(1)^(2)+b(2)^(2)+b(3)^(2)=4, c(1)^(2...

    Text Solution

    |

  7. The number of ways of selecting two distinct numbers from the first 15...

    Text Solution

    |

  8. The number of possible straight lines passing through point(2,3) and f...

    Text Solution

    |

  9. If p and q are logical statements, then (p^^q)rarr(prarrq) is equivale...

    Text Solution

    |

  10. The curve having differential equation, xcosy(dy)/(dx)+siny=x and pass...

    Text Solution

    |

  11. If z(1), z(2) and z(3) are the vertices of a triangle in the argand pl...

    Text Solution

    |

  12. The range of the function f(x)=x^(2)ln(x)" for "x in [1, e]" is " [a, ...

    Text Solution

    |

  13. Consider I(1)=int(10)^(20)(lnx)/(lnx+ln(30-x))dx and I(2)=int(20)^(30)...

    Text Solution

    |

  14. The length of the intercept cut by the line 4x+4sqrt3y-1=0 between the...

    Text Solution

    |

  15. The area (in sq. units) bounded by [|x|]+[|y|]=2 in the first and thir...

    Text Solution

    |

  16. Let an ant starts from the origin (O) and travels 2 units on negative ...

    Text Solution

    |

  17. The ellipse E(1):(x^(2))/(9)+(y^(2))/(4)=1 is inscribed in a rectangle...

    Text Solution

    |

  18. Let I=int(dx)/((cosx-sinx^(2)))=(1)/(f(x))+C (where, C is the constant...

    Text Solution

    |

  19. If the function f(x)=cos^(-1)(x^((3)/(2))-sqrt(1-x-x^(2)+x^(3))) (" wh...

    Text Solution

    |

  20. Let three positive numbers a, b c are in geometric progression, such t...

    Text Solution

    |