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Find the complex number z satisfying the...

Find the complex number z satisfying the equation `|(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 ENGLISH-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 equation |(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 the complex number z(1) " and " z(2) are such that arg (z(1)) - ar...

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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 z(1),z(2),z(3),z(4) are the affixes of the four points in the Ar...

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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=1,2,3,…n

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  10. If z(1),z(2) and z(3), z(4) are two pairs of conjugate complex numbers...

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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+dot+logz^n=0i s

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  14. If |z(1)|= |z(2)|= ….= |z(n)|=1, prove that |z(1) + z(2) + …+ z(n)|= |...

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  15. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  16. If omega(!=1) is a cube root of unity, then value of the determinant|1...

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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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