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Let a and b two fixed non-zero complex n...

Let a and b two fixed non-zero complex numbers and z is a variable comlex number. If the lines `abar(z)+bar(a)z+1=0` and `bbar(z)+bar(b)z-1=0` are mutually perpendicular, then

A

`alphabeta+bar(alpha)bar(beta)=0`

B

`alphabeta-bar(alpha)bar(beta)=0`

C

`bar(alpha)-alphabar(beta)=0`

D

`alphabar(beta)+bar(alpha)beta=0`

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The correct Answer is:
d
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
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  3. Let a and b two fixed non-zero complex numbers and z is a variable com...

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  4. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

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  7. If p^(2)-p+1=0, then the value of p^(3n) can be

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  8. The complex number 2^(n)/(1 + i)^(2n) + (1+i)^(2n)/2^(n), n in I is e...

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  9. If arg (z(1)z(2))=0 and |z(1)|=|z(2)|=1, then

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  10. If i = sqrt(-1), omega is non-real cube root of unity then ((1 + i)^(2...

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  11. If z is a complex number satisfying z+z^(-1) =1 " then " z^(n) + z...

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  12. x^(3m) + x^(3n-1) + x^(3r-2), where, m,n,r in N is divisible by

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  13. If z is nanreal root of ""^(7)sqrt(-1), then find the value of z ^(86...

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  14. The locus of point z satisfying Re(z^(2))=0, is

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  15. The curve represented by "Im"(z^(2))=k, where k is a non-zero real num...

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  16. If log(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

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  17. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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  18. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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  19. If omega is a complex cube root of unity, then the equation |z- omega|...

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  20. If omega is a complex cube root of unity, then the equationi |z-omega|...

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