Home
Class 11
MATHS
The centre of a square ABCD is at z0dot ...

The centre of a square ABCD is at `z_0dot` If `A` is `z_1` , then the centroid of the ABC is `2z_0-(z_1-z_0)` (b) `(z_0+i((z_1-z_0)/3)` `(z_0+i z_1)/3` (d) `2/3(z_1-z_0)`

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

The centre of a square ABCD is at z=0, A is z_(1) . Then, the centroid of /_\ABC is (where, i=sqrt(-1) )

If |z_1-z_0|=|z_2-z_0|=a and amp((z_2-z_0)/(z_0-z_1))=pi/2 , then find z_0

If z_(0)=(1-i)/2 , then the value of the product (1+z_(0))(1+z_(0)^(2))(1+z_(0)^(2^(2))(1+z_(0)^(2^(3)))…..(1+z_(0)^(2^(n))) must be

Find the radius and centre of the circle z bar(z) + (1-i) z + (1+ i) bar(z)- 7 = 0

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,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 :

z_1a n dz_2 are two complex numbers satisfying i|z_1|^2z_2-|z_2|^2z_1=z_1-i z_2dot Then which of the following is/are correct? R e((z_1)/(z_2))=0 (b) I m((z_1)/(z_2))=0 z_1( z )_2+( z )_1z_2=0 (d) |z_1||z_2|=1or|z_1|=|z_2|

If z_0,z_1 represent points P ,Q on the locus |z-1|=1 and the line segment P Q subtends an angle pi/2 at the point z=1 then z_1 is equal to (a) 1+i(z_0-1) (b) i/(z_0-1) (c) 1-i(z_0-1) (d) i(z_0-1)

If z_(1),z_(2) are vertices of an equilateral triangle with z_(0) its centroid, then z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=

If z_1,z_2 are two complex numbers such that Im(z_1+z_2)=0,Im(z_1z_2)=0 , then:

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

    |