Home
Class 11
MATHS
Solve for z : z^2-(3-2i)z=(5i-5)dot...

Solve for `z : z^2-(3-2i)z=(5i-5)dot`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Solve : |z|=z+bar(1-2i)

Solve the equation z^3= z (z!=0)dot

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(3z^2-z-2))}=(2pi)/3dot

The least value of |z-3-4i|^(2)+|z+2-7i|^(2)+|z-5+2i|^(2) occurs when z=

The point z_1=3+sqrt(3)i and z_2=2sqrt(3)+6i are given on a complex plane. The complex number lying on the bisector of the angle formed by the vectors z_1a n dz_2 is a. z=((3+2sqrt(3)))/2+(sqrt(3)+2)/2i b. z=5+5i c. z=-1-i d.none of these

A(z_1),B(z_2),C(z_3) are the vertices of the triangle A B C (in anticlockwise). If /_A B C=pi//4 and A B=sqrt(2)(B C) , then prove that z_2=z_3+i(z_1-z_3)dot

The value of |z|^(2)+|z-3|^(2)+|z-i|^(2) is minimum when z equals -

Write the following in z=a+ib form: z=1/(3-2i)

Write the following in z=a+ib form: z=1/(5+i)

If |z_1|=15 and |z_2-3-4i|=5,t h e n

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  2. Fill in the blanks. If the product of the roots of the equation x^2-3k...

    Text Solution

    |

  3. Solve for z : z^2-(3-2i)z=(5i-5)dot

    Text Solution

    |

  4. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

    Text Solution

    |

  5. Find all possible values of sqrt(i)+sqrt(-i)dot.

    Text Solution

    |

  6. Fill in the blanksIfx<0,y<0,x+y+(x//y)=(1//2)a n d (x+y)(x//y)=-(1//2...

    Text Solution

    |

  7. Find the square roots of the following: (i) 7-24 i

    Text Solution

    |

  8. True or false The equation2x^2+3x+1=0 has an irrational root.

    Text Solution

    |

  9. If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

    Text Solution

    |

  10. If l ,m ,n are real and l!=m , then the roots of the equation (l-m)x...

    Text Solution

    |

  11. Let z be a complex number satisfying the equation z^2-(3+i)z+m+2i=0\ ,...

    Text Solution

    |

  12. If x ,y and z are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x ...

    Text Solution

    |

  13. If (x+i y)^3=u+i v , then show that u/x+v/y=4(x^2-y^2)

    Text Solution

    |

  14. Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b ...

    Text Solution

    |

  15. If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, ...

    Text Solution

    |

  16. Column I ...............................................................

    Text Solution

    |

  17. If sqrt(x+i y)=+-(a+i b), then findsqrt( -x-i ydot)

    Text Solution

    |

  18. Match the following for the equation x^2+a|x|+1=0,w h e r ea is a para...

    Text Solution

    |

  19. Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot

    Text Solution

    |

  20. If a ,b ,c are non zero complex numbers of equal modlus and satisfy a ...

    Text Solution

    |