Home
Class 12
MATHS
z(1),z(2),z(3) and z(4) are the affixes ...

`z_(1),z_(2),z_(3) and z_(4)` are the affixes of four points in the argand plane and z affix of a point such that `|z-z_(1)|=|z-z_(2)|=|z-z_(3)|` then `=|z-z_(4)|`, `z_(1), z_(2), z_(3) and z_(4)` are

A

concyclic

B

tices of parallelogram

C

vertices of rhombus

D

in a straight line

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 106

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

  • NTA TPC JEE MAIN TEST 108

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|8 Videos

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3),z_(4) are the affixes of four point in the Argand plane,z is the affix of a point such that |z-z_(1)|=|z-z_(2)|=|z-z_(3)|=|z-z_(4)| ,then prove that z_(1),z_(2),z_(3),z_(4) are concyclic.

If A(z_(1)) and B(z_(2)) are two fixed points in the Argand plane the locus of point P(z) satisfying |z-z_(1)|+|z-z_(2)|=|z_(1)-z_(2)| , is

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

If |z_(1)|=|z_(2)|=|z_(3)|=......=|z_(n)|=1, then |z_(1)+z_(2)+z_(3)+......+z_(n)|=

If A(z_(1)) and A(z_(2)) are two fixed points in the Argand plane and a point P(z) moves in the Argand plane in such a way that |z-z_(1)|=|z-z_(2)| , then the locus of P, is

If |z_(1)|=|z_(2)|=|z_(3)| and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of

If |z_(1)-2|<2,|z_(2)-4|<4,|z_(3)-6|<6 then |z_(1)+z_(2)+z_(3)| is

Statement-1: If z_(1),z_(2) are affixes of two fixed points A and B in the Argand plane and P(z) is a variable point such that "arg" (z-z_(1))/(z-z_(2))=pi/2 , then the locus of z is a circle having z_(1) and z_(2) as the end-points of a diameter. Statement-2 : arg (z_(2)-z_(1))/(z_(1)-z) = angleAPB

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 107-MATHEMATICS
  1. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy = c^(2) ...

    Text Solution

    |

  2. From first 100 natural numbers, 3 numbers are selected. If these thre...

    Text Solution

    |

  3. The ratio of the distance from (-1,1,3) and (3,2,1) to the plane 2a +...

    Text Solution

    |

  4. Tangents are drawn from the origin to the curve y = sin a, then their...

    Text Solution

    |

  5. z(1),z(2),z(3) and z(4) are the affixes of four points in the argand p...

    Text Solution

    |

  6. The value of lim(x to oo) [(1^((1)/(x))+2^((1)/(x))+3^((1)/(x))...+n^(...

    Text Solution

    |

  7. The valuye of int(0)^(pi) (dx)/(1-2 a cosx+alpha^(2)) is

    Text Solution

    |

  8. If two diameters of a circle of area 154 sq. units are 2ac-3y= 5 & 3a...

    Text Solution

    |

  9. Assertion: Area bounded by y = lnx and y=(ln x)^(2) is int(1)^(e) (ln...

    Text Solution

    |

  10. sin x tan x* tan 4x=cos x "in" x in (0, pi) is/are

    Text Solution

    |

  11. If y= f(a) passing through the point P (1, 2) and satisfies the differ...

    Text Solution

    |

  12. Let P(x) be a polynomial of degree 5 with leading coefficient unity. ...

    Text Solution

    |

  13. Let P(n) denote the statement that n^(2) +n is odd. It is seen that P...

    Text Solution

    |

  14. Let f(r) be a polynomial of degree 3 such that s(3) =21, f(3) = 30...

    Text Solution

    |

  15. A student has to answer a question paper that has 8 questions, each ...

    Text Solution

    |

  16. If a(1),a(2)......a(10) are positive numbers in an arithmetic progress...

    Text Solution

    |

  17. If veca, vecb are vectors perpendicular to each other and |veca|=2, ...

    Text Solution

    |

  18. Value of the expression 16 sin 20^(@) sin 40^(@) sin 60^(@) sin 100^(@...

    Text Solution

    |

  19. If cos^(-1)=x a and sin^(-1) (2x sqrt(1-x^(2)))+sec^(-1) ((1)/(2x^(2)-...

    Text Solution

    |

  20. For the data of first 10 even natural number, evaluate variance.

    Text Solution

    |