Home
Class 11
MATHS
Find the number of non-zero integral sol...

Find the number of non-zero integral solutions of the equation `|1- i|^x= 2^x` .

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JBD PUBLICATION|Exercise EXAMPLE|36 Videos

  • BINOMIAL THEOREM

    JBD PUBLICATION|Exercise EXAMPLE|23 Videos

  • CONIC SECTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

Similar Questions

Explore conceptually related problems

Number of non-zero integral solutions of the equation |1-i|^x= 2^x is :

The number of integral solution of the equation |x^(2)-7|le 9 are

Find the number of positive unequal integral solutions of the equation x+y+z+w=20 .

Find the number of positive integral solution of the equation tan^(-1) x + cos^(-1) (y)/(sqrt1 +y^(2)) = sin^(-1) (3)/(sqrt10)

Find the non-zero integral solutions of |1-i|^x=2^x .

The number of solutions of the equation |x-1|-|2x-5|=2x

The number of real solutions of the equation 1-x = [cosx] is

Number of positive unequal integral solutions of the equation x+y+z=12 is

The number of real solution of the equation x^(2)=1-|x-5| is:

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

JBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-EXAMPLE
  1. Find the modulus of the following complex numbers: (3-4i)/(4-31)

    Text Solution

    |

  2. Find the modulus of the following complex numbers: (2+3i)^2/(1-3i)

    Text Solution

    |

  3. Find the number of non-zero integral solutions of the equation |1- i|^...

    Text Solution

    |

  4. If z=x+iy and |z+a|=3|z-a|, show that 2(x^2+y^2)=5ax-2a^2.

    Text Solution

    |

  5. Solve 2x^2+x+1=0

    Text Solution

    |

  6. Solve the following equation : 2x^2-(3 +7i)x + (9i-3)=0.

    Text Solution

    |

  7. Find the modulus and argument of the complex number (1+2 i)/(1- 3i)

    Text Solution

    |

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

    Text Solution

    |

  9. If x-iy= sqrt((a-ib)/(c-id)) prove that (x^2+y^2)^2= (a^2+b^2)/(c^2+d^...

    Text Solution

    |

  10. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that: (a^2+b^2)(c^2+d^2)(e...

    Text Solution

    |

  11. Find the square root of i.

    Text Solution

    |

  12. Find the square root of 1+i.

    Text Solution

    |

  13. Find the squre root of 1+2sqrt(6)i.

    Text Solution

    |

  14. Convert each of the complex numbers given below in the polar form. Als...

    Text Solution

    |

  15. Convert each of the complex numbers given below in the polar form. Als...

    Text Solution

    |

  16. Convert each of the complex number -16/(1+isqrt3) into polar form. Als...

    Text Solution

    |

  17. If ((1+i)/(1-i))^3-((1-i)/(1+i))^3=x+iy, then find (x,y)

    Text Solution

    |

  18. If (x+iy)^(1/3)=a+ib, where a,b,x, y in R, show that x/a-y/b=-2(a^2+b^...

    Text Solution

    |

  19. If z=x+iy and |z|=1, show that the complex number z1=(z-1)/(z+1) is pu...

    Text Solution

    |

  20. Convert z= (i-1)/(cos frac (pi)(3)+i sin frac (pi)(3)) in polar form.

    Text Solution

    |