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Let z1a n dz2 be complex numbers such th...

Let `z_1a n dz_2` be complex numbers such that `z_1!=z_2` and `|z_1|=|z_2|dot` If `z_1` has positive real part and `z_2` has negative imaginary part, then `(z_1+z_2)/(z_1-z_2)` may be (a)zero (b) real and positive (c)real and negative (d) purely imaginary

A

cannot be zero

B

is real and positive

C

is real and negative

D

is purely imaginary

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The correct Answer is:
d
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. POQ is a straight line through the origin O,P and Q represent the comp...

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  2. If z1=a + ib and z2 = c + id are complex numbers such that |z1|=|z2|=...

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  3. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  4. about to only mathematics

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  5. The equation barbz+b barz=c, where b is a non-zero complex constant an...

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  6. If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......nandlamda(1)+lamda(2)+........

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  7. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

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  8. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

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  9. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

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  10. The points representing cube roots of unity

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  11. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

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  12. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  13. If n is a positive integer greater than unity z is a complex number sa...

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  14. If n is positive integer greater than unity and z is a complex number ...

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  15. If at least one value of the complex number z=x+iy satisfies the condi...

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  16. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  17. The center of a regular polygon of n sides is located at the point z=0...

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  18. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

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  19. For any complex number z, the minimum value of |z|+|z-1|

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  20. The inequality |z-4| < |z-2| represents

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