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The number of solutions of z + sqrt2 (|...

The number of solutions of `z + sqrt2 (| z+ 1|) + i=0`

A

1

B

2

C

3

D

infinite

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If (1 + isqrt2)^(x) = 3^(x) , then its only integral solution is

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  2. If barz = iz^(2) then the number of values of z is

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  3. The number of solutions of z + sqrt2 (| z+ 1|) + i=0

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  4. If the complex number z lies on |z| = 1 then (2)/(z) lies on

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  5. If zbarz=4 then the locus of z is

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  6. Match the items of List - I with those of List-II

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  7. If z = x +iy and P represents z in the Argand plane and mod (2z-3) = 4...

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  8. If z = (lambda + 3) + isqrt( 5 - lambda^(2)) , then the locus of z is...

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  9. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

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  10. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

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  11. If z is a complex number with |z|ge 5 . Then the least value of |z +...

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  12. (1 + x)^(n) = p(0) + p(1) x + p(2) x^(2) + … + p(n) x^(n) , then p(0)...

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  13. The cube roots of unity when represented on the Argand diagram form th...

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  14. If a , b , c in R such that a + b + c= 0 and az(1) + bz(2) + cz(3) = ...

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  15. In the Argand plane the area in square units of the triangle formed by...

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  16. If the area of the triangle on the complex plane formed by the point z...

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  17. If |z-2/z|=2 then the greatest value of |z| is

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  18. If |z| ge 3 , then the least value of |z + (1)/(z)| is

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  19. The value of (i)^(i) is

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  20. Log(e) ((1 + i)/(1- i))=

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