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In Argand diagram , O , P , Q represent...

In Argand diagram , O , P , Q represent the origin , z and z +iz respectively , then `angleOPQ=`

A

`(pi)/(4)`

B

`(pi)/(6)`

C

`(pi)/(2)`

D

`(pi)/(3)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If |z| =3 , the area of the triangle whose sides are z , omega z and ...

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  2. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

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  3. In Argand diagram , O , P , Q represent the origin , z and z +iz resp...

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  4. If a is a complex number and b is a real number then the equation bar...

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  5. The complex numbers z(1) , z(2) and z(3) satisfying (z(1) - z(3))/(z(2...

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  6. The cube roots of unity in an Argand plane represent the vertices of a...

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  7. Let z(1) and z(2) be two non-zero complex numbers such that (z(1))/(z(...

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  8. Let the complex number z(1) , z(2) , z(3) be the vertices of an equila...

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  9. Log (log i) =

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  10. The value of i^(i^(-i…..oo)) = x + iy then x^(2) + y^(2) =

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  11. The real and imaginary parts of log (1 + i) =

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  12. (sin (log i^(i)))^3 + (cos (log i^(i)))^3 =

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  13. z = 6. e^(i (pi)/(3)) then |e^(iz)| =

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  14. tan{ilog((a-ib)/(a+ib))}=

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  15. The locus represented by |z-1|=|z+i| is

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  16. Let z = 1 - t + isqrt(t^(2) + t + 2) , where t is a real parameter . T...

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  17. In the Argand Diagram , all the complex numbers z satisfying |z - 4i| ...

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  18. The region of the argand plane defined by |z-i| + |z +i| le 4 is

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  19. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

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  20. If |z -1| lt 2 |z - 2| then the locus of z = x + iy is

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