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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

zero

B

real and positive

C

real and negative

D

purely imaginary

Text Solution

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The correct Answer is:
A, D
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. Let a,b,x and y be real numbers such that a-b =1 and y ne 0. If the ...

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  2. If z(1)=p+iq and z(2) = u = iv are complex numbers such that |z(1)|=...

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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. Let z1=10+6i and z2=4+6idot If z is any complex number such that the a...

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  5. about to only mathematics

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  6. Find the centre and radius of the circle formed by all the points repr...

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  7. If one of the vertices of the square circumscribing the circle abs(z-1...

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  8. Let a complex number alpha,alpha!=1, be a rootof hte euation z^(p+q)-z...

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  9. If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...

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  10. If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...

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  11. Express 1//(1-costheta+2isintheta) in the form x=i y .

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  12. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  13. The real values of xa n dy for which the following equation is satisfi...

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  14. Let the complex numbers z(1),z(2) and z(3) be the vertices of an equ...

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  15. A relation R on set of complex numbers defined by Z(1)RZ(2) hArr (Z(1)...

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  16. Prove that the complex numbers z(1),z(2) and the origin form an equ...

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  17. If roots of an equation x^n-1=0a r e1,a1,2, a(n-1), then the value of...

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  18. Show that the area of the triangle on the Argand diagram formed by the...

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  19. Complex numbers z(1),z(2)andz(3) are the vertices A,B,C respectivelt o...

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  20. If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...

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