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If Arg (3z-2i) = pi//2 then the locus of...

If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

A

`x^(2) + y^(2) - 3x - 2 = 0 , y = 0`

B

x = 0 such that `y gt (2)/(3)`

C

`x^(2) + y^(2) + 2x - 4y = 0` such that `y lt 0 , x^(2) + y^(2) gt 1`

D

`x^(2) + y^(2) + 2x - 4y = 0` such that `2x - y + 4 gt 0`

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The correct Answer is:
B
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos...

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  2. If (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

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  3. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

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  4. The argument of ((1 - isqrt3))/((1+isqrt3)) is equal to

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  5. Given |z| = 14 and amp z = (7pi)/(6) , then z is =

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  6. If (sqrt3 + i) = (a + ib) (c + id) then tan^(-1) (b)/(a) + tan^(-1) (d...

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  7. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  8. If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

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  9. If |z| = 1 and arg [z^(2) + barz] = x arg z then x

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  10. If z = x + iy and if the point P in the Argand plane represents z , th...

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  11. If |z-3+i| = 4 then the locus of z = x +iy is

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  12. If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

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  13. The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|...

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  14. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

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  15. The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^...

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  16. If |z+i|^2-|z-i|^2=3 then the locus of z is

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  17. The points representing the complex numbers z for which |z+4|^2-|z-4|^...

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  18. If (2z(1))/(3z(2)) is purely , an imaginary number , then |(z(1) - z(2...

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  19. If |z(1) | = |z(2)| = 1 , then |z(1) + z(2)| =

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  20. The modulus of sqrt2i-sqrt(-2i) is

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