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

The join of `z_(1)=a+ib` and `z_(2)=1/(-a+ib)` passes through

A

z=0

B

`z=1+i0`

C

`z=0+i`

D

`z=1+i`

Text Solution

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The correct Answer is:
a
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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  3. The join of z(1)=a+ib and z(2)=1/(-a+ib) passes through

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

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

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

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

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

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

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

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

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

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

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

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

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  16. (1+i)^8+(1-i)^8=?

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

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