Home
Class 12
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

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The centre of a square ABCD is at z_(0). 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)+iz_(1))/(3) (d) (2)/(3)(z_(1)-z_(0))

The center of a square is at z=0. A is z_(1) , then the centroid of the triangle ABC is

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

If z_1,z_2,z_3,z_4 be the vertices of a parallelogram taken in anticlockwise direction and |z_1-z_2|=|z_1-z_4|, then sum_(r=1)^4(-1)^r z_r=0 (b) z_1+z_2-z_3-z_4=0 a r g(z_4-z_2)/(z_3-z_1)=pi/2 (d) None of these

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

RESONANCE DPP-JEE MAINS-All Questions
  1. A parallelepiped is formed by planes drawn through the points (2,3,5)a...

    Text Solution

    |

  2. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

    Text Solution

    |

  3. The centre of a square ABCD is at z0dot If A is z1 , then the centroid...

    Text Solution

    |

  4. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

    Text Solution

    |

  5. The plane x+2y+3z=7 is rotated about the line where it cut y z -plan...

    Text Solution

    |

  6. The common roots of the equation z^3+2z^2+2z+1=0 and z^(1985)+z^(100)+...

    Text Solution

    |

  7. The value of int1^(e^(37))(pi"sin"(piI nx))/x dx is 2 b. 4 c. e^(27) d...

    Text Solution

    |

  8. If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...

    Text Solution

    |

  9. Mean deviation of the series a,a+d,a+2d,.......,a+2nd from its mean is...

    Text Solution

    |

  10. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

    Text Solution

    |

  11. A class has tree teachers, Mr. X, Ms.Y and Mrs.Z and six students A, ...

    Text Solution

    |

  12. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  13. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

    Text Solution

    |

  14. In an examination, the marks for physics and chemistry papers are 25 e...

    Text Solution

    |

  15. Which one of the following triplets CANNOT be the angles made by a ...

    Text Solution

    |

  16. If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3|=12 , then find the va...

    Text Solution

    |

  17. The total number of divisors of the number N=2^(5).3^(4).5^(10).7^(6) ...

    Text Solution

    |

  18. Find the equation of the plane passing through (3,4,-1), which is p...

    Text Solution

    |

  19. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  20. Find the probability that a leap year will have 53 Friday or 53 Sat...

    Text Solution

    |