Home
Class 12
MATHS
If z1a n dz2 are two nonzero complex num...

If `z_1a n dz_2` are two nonzero complex numbers such that =`|z_1+z_2|=|z_1|+|z_2|,` then `a rgz_1-a r g z_2` is equal to `-pi` b. `pi/2` c. `0` d. `pi/2` e. `pi`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

If z_1 and z_2 are two complex numbers such that |\z_1|=|\z_2|+|z_1-z_2| show that Im (z_1/z_2)=0

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

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

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( z )_2dot

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=- bar z _2dot

Let z_1a n dz_2 be two complex numbers such that ( z )_1+i( z )_2=0 and arg(z_1z_2)=pidot Then, find a r g(z_1)dot

For any two complex number z_1a n d\ z_2 prove that: |z_1-z_2|lt=|z_1|+|z_2|

For any two complex number z_1a n d\ z_2 prove that: |z_1+z_2|geq|z_1|-|z_2|

For any two complex number z_1a n d\ z_2 prove that: |z_1-z_2|geq|z_1|-|z_2|

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The probability of a shooter hitting a target is 3/4 . How many minimu...

    Text Solution

    |

  2. If the standard deviation of a variable xi ssigma , then standard devi...

    Text Solution

    |

  3. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

    Text Solution

    |

  4. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  5. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  6. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

    Text Solution

    |

  7. Differentiate the following functions with respect to x a/(x^2)+b/(x^...

    Text Solution

    |

  8. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

    Text Solution

    |

  9. The number of terms of an A.P. is even; the sum of the odd terms is ...

    Text Solution

    |

  10. Evaluate the following: (lim)(x->0^+)xsin1//x

    Text Solution

    |

  11. If z=1+it h e nz^(10) reduces to: A purely imaginary number An imagina...

    Text Solution

    |

  12. Evaluate the following: lim(xrarrpi/2)(2sin x+3)/(3cos x+3)

    Text Solution

    |

  13. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

    Text Solution

    |

  14. In a triange, the line joining the circumcentre to the incentre is par...

    Text Solution

    |

  15. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x""->2...

    Text Solution

    |

  16. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  17. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

    Text Solution

    |

  18. Find the following: lim(xrarr0)(1+x)^(1//x)

    Text Solution

    |

  19. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  20. Find the following: lim(xrarr0^+)({x})^(1//x)

    Text Solution

    |