Home
Class 12
MATHS
the vaule of arg (x) when x lt 0 is...

the vaule of arg (x) when `x lt 0` is

A

0

B

`(pi)/(2)`

C

`pi`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

the area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

Does Lim_(x to 0 ) f(x) exist if f(x) = {:{(x," when "x lt 0 ),(0 ," when " x = 0 ),(x^(2)," when " x gt 0):}

The primitive of the function f(x)= x | cos x| , when pi/2 lt x lt pi is given by

The maximum value of the function of (log_(e) x)/(x) in 0 lt x lt oo is at

Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs intersect at the three points (0,4),(2,2) and (4,0) with f(x) gt g(x) for 0 lt x lt 2 and f(x) lt g(x) for 2 lt x lt 4 . If int_0^4[f(x)-g(x)]dx=10 and int_2^4[g(x)-f(x)]dx=5 the area between two curves for 0 lt x lt 2 ,is (A) 5 (B) 10 (C) 15 (D) 20

The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) - 5x + 6 lt 0 is

arg(bar(z))+arg(-z)={{:(pi",","if arg (z) "lt 0),(-pi",", "if arg (z) "gt 0):},"where" -pi lt arg(z) le pi . If arg(z) gt 0 , then arg (-z)-arg(z) is equal to

If (x-a) (x-b) lt 0 , then x lt a, and x gt b .

Statement-1: "log"_(10)x lt "log"_(pi) x lt "log"_(e) x lt "log"_(2) x Statement-2: x lt y rArr "log"_(a) x gt "log"_(a) y " when " 0 lt a lt 1

If z = x + iy lies in the third quadrant, then prove that (barz)/(z) also lies in the third quadrant when y lt x lt 0

VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. the vaule of arg (x) when x lt 0 is

    Text Solution

    |

  2. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

    Text Solution

    |

  3. If z is a complex number such that |z|geq2 , then the minimum value...

    Text Solution

    |

  4. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  5. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  6. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  7. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  8. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  9. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. If z is complex number of unit modulus and argument theta then arg ...

    Text Solution

    |

  19. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  20. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  21. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |