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If z(1) = 8 + 4i , z(2) = 6 + 4i and z ...

If `z_(1) = 8 + 4i , z_(2) = 6 + 4i` and z be a complex number such that Arg `((z - z_(1))/(z - z_(2))) = (pi)/(4)` , then the locus of z is

A

`(x - 7)^(2) + (y- 5)^(2) = 2`

B

`(x - 7)^(2) + (y+ 5)^(2) = 2`

C

`(x - 7)^(2) + (y - 5)^(2) = 4`

D

`(x + 7)^(2) + (y + 5)^(2) = 4`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If log (tan 30^(@)) ( (2 |z|^(2) + 2 |z| - 3)/(|z| + 1)) lt -2 , then

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  2. The locus of z satisfying the inequality log ((1)/(3)) |z + 1| gt log(...

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  3. If z(1) = 8 + 4i , z(2) = 6 + 4i and z be a complex number such that ...

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  4. The triangle formed by the points 1 , (1 +i)/(sqrt2) and ias vertices ...

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  5. If |z| =3 , the area of the triangle whose sides are z , omega z and ...

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

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

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

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

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

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

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

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  13. Log (log i) =

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

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

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

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

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

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

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

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