Home
Class 11
MATHS
If a r g(z)<0, then a r g(-z)-"a r g"(z)...

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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Write the value of a r g(z)+a r g( z ) .

Write the value of a r g(z)+a r g(barz ) .

Write the value of a r g(z)+a r g( barz ) .

if |z_1+z_2|=|z_1|+|z_2|, then prove that a r g(z_1)=a r g(z_2) if |z_1-z_2|=|z_1|+|z_2|, then prove that a r g(z_1)=a r g(z_2)=pi

If z_1, z_2a n dz_3, z_4 are two pairs of conjugate complex numbers, then find the value of "a r g"(z_1//z_4)+a r g(z_2//z_3)dot

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

If z lies on the curve a r g(z+1)=pi/4 , then the minimum value of |z-omega|+|z+omega|,w h e romega=e^(i(2pi)/3) , is

Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect in two distinct points, then a. [r]!=2 b. 0 < r < 3 c. r=6 d. 3 < r < 2sqrt(3) (Note : [r] represents integral part of r)

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.

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is e...

    Text Solution

    |

  2. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

    Text Solution

    |

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

    Text Solution

    |

  4. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

    Text Solution

    |

  5. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  6. if a lt c lt b, then check the nature of roots of the equation (a ...

    Text Solution

    |

  7. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  8. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  9. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

    Text Solution

    |

  10. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  11. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, fin...

    Text Solution

    |

  12. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

    Text Solution

    |

  13. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cospi/4 (b) sinp...

    Text Solution

    |

  14. If p ,q in {1,2,3,4,5} , then find the number of equations of form p^2...

    Text Solution

    |

  15. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  16. Find the domain and the range of f(x)=sqrt(x^2-3x.)

    Text Solution

    |

  17. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

    Text Solution

    |

  18. Find the domain and range of f(x)=sqrt(3-2x-x^2)

    Text Solution

    |

  19. If x in (0,pi//2)a n dcosx=1//3 , then prove that sum(n=0)^oo(cosn x)/...

    Text Solution

    |

  20. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

    Text Solution

    |