Home
Class 12
MATHS
If z=((1+isqrt(3))^2)/(4i(1-isqrt(3)))i ...

If `z=((1+isqrt(3))^2)/(4i(1-isqrt(3)))i sacom p l e xnu m b e r ,t h e n` `a r g(z)=pi/4` (b) `a r g(z)=pi/2` `|z|=1/2` (d) `|z|=2`

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+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(z)=pi/4 b. arg(z)=pi/2 c. |z|=1/2 d. |z|=2

If z(2-2sqrt(3i))^2=i(sqrt(3)+i)^4, then a r g(z)=

The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1} is________.

If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

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|

If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I m(z)=0 c. R e(z)>0 d. R e(z)>0,I m(z)<0

Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d arg(2z+1-2i)=pi//4.

Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d arg(2z+1-2i)=pi//4.

The shaded region, where P=(-1,0),Q=(-1+sqrt(2),sqrt(2))R=(-1+sqrt(2),-sqrt(2)),S=(1,0) is represented by Figure |z+1|gt2,|a r g(z+1)ltpi/4 |z+1|lt2,|a r g(z+1)ltpi/2 |z+1|gt2,|a r g(z+1)gtpi/4 |z+1|lt2,|a r g(z+1)gtpi/2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

    Text Solution

    |

  2. If z and bar z represent adjacent vertices of a regular polygon of n s...

    Text Solution

    |

  3. If z=((1+isqrt(3))^2)/(4i(1-isqrt(3)))i sacom p l e xnu m b e r ,t h e...

    Text Solution

    |

  4. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

    Text Solution

    |

  5. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

    Text Solution

    |

  6. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

    Text Solution

    |

  7. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of a...

    Text Solution

    |

  8. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

    Text Solution

    |

  9. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

    Text Solution

    |

  10. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  11. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

    Text Solution

    |

  12. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  13. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

    Text Solution

    |

  14. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  15. If [dot] represents the greatest integer function, then int4^(10)([x^2...

    Text Solution

    |

  16. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

    Text Solution

    |

  17. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

    Text Solution

    |

  18. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

    Text Solution

    |

  19. Prove that int(0)^(2)|x^(2)+2x-3|dx=4

    Text Solution

    |

  20. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

    Text Solution

    |