Home
Class 12
MATHS
If z is a complex number such that |z|=4...

If `z` is a complex number such that `|z|=4` and `a r g(z)=(5pi)/6` , then `z` is equal to `-2sqrt(3)+2i` b. `2sqrt(3)+i` c. `2sqrt(3)-2i` d. `-sqrt(3)+i`

Text Solution

AI Generated Solution

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

Let z be a complex number such that |z|+z=3+I (Where i=sqrt(-1)) Then ,|z| is equal to

If Z is a complex number the radius of z bar z - ( 2+3i)z - (2-3i)barz + 9 =0 is equal to

Given z=(1+isqrt(3))^(100), then [R E(z)//I M(z)] equals 2^(100) b. 2^(50) c. 1/(sqrt(3)) d. sqrt(3)

For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|

For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|

Let z_1=6+i and z_2=4-3i . If z is a complex number such thar arg ((z-z_1)/(z_2-z))= pi/2 then (A) |z-(5-i)=sqrt(5) (B) |z-(5+i)=sqrt(5) (C) |z-(5-i)|=5 (D) |z-(5+i)|=5

If z is a complex number having least absolute value and |z-2+2i|=1 ,then z= (2-1//sqrt(2))(1-i) b. (2-1//sqrt(2))(1+i) c. (2+1//sqrt(2))(1-i)"" d. (2+1//sqrt(2))(1+i)

If z be a complex number, then |z-3-4i|^(2)+|z+4+2i|^(2)=k represents a circle, if k is equal to

If z_1=10+6i and z_2=4+2i be two complex numbers and z be a complex number such that a r g((z-z_1)/(z-z_2))=pi/4 , then locus of z is an arc of a circle whose (a) centre is 5+7i (b) centre is 7+5i (c) radius is sqrt(26) (d) radius is sqrt(13)

If arg ((z_(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z_(1)|=3 , then |z_(1)| equals to a. sqrt(3) b. 2sqrt(2) c. sqrt(10) d. sqrt(26)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then side c is

    Text Solution

    |

  19. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

    Text Solution

    |

  20. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

    Text Solution

    |