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Find the complex number z satisfying the...

Find the complex number z satisfying the equations `|(z-12)/(z-8i)|=5/3,|(z-4)/(z-8)|=1`

A

6

B

`6+-8i`

C

`6+8i, 6+17i`

D

`8+-6i`

Text Solution

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The correct Answer is:
c
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. The vector z=-4+5i is turned counter clockwise through an angle of 180...

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  2. The value of [sqrt(2)(cos(56^(@)15^('))+isin(56^(@)15^('))]^(8), is

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  3. Find the complex number z satisfying the equations |(z-12)/(z-8i)|=5/...

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  4. The vertices B and D of a parallelogram are 1-2i and 4-2i If the diago...

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  5. If for complex numbers z(1) and z(2), arg z(1)-"arg"(z(2))=0 then |z(1...

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  6. The join of z(1)=a+ib and z(2)=1/(-a+ib) passes through

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  7. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

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  8. The value of sum(r=1)^(8)(sin(2rpi)/9+icos(2rpi)/9), is

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  9. If z(1),z(2),z(3),…………..,z(n) are n nth roots of unity, then for k=1,2...

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  10. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers then arg...

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  11. If |z(1)|=|z(2)| and arg (z(1))+"arg"(z(2))=0, then

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  12. If one vertex of a square whose diagonals intersect at the origin is 3...

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  13. The value of z satisfying the equation logz+logz^(2)+……..+logz^(n)=0...

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  14. If |z(1)|=|z(2)|=………….=|z-(n)|=1, then the value of |z(1)+z(2)+………+z(n...

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  15. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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  16. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  17. Let z and omega be two non-zero complex numbers, such that |z|=|omega|...

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  18. If z ne 0 be a complex number and "arg"(z)=pi//4, then

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  19. (1+i)^8+(1-i)^8=?

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  20. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

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