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Let A(z1),A2(barz1) are the adjacent ver...

Let `A(z_1),A_2(barz_1)` are the adjacent vertices of a regular polygon if `(Im(barz_1))/(Re(z_1))=1-sqrt2` then number of sides of the polygon is equal to

A

6

B

8

C

12

D

16

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The correct Answer is:
B
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If z1,z2 are two non zero complex numbers such that z1/z2+z2/z1=1 then...

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  2. The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...

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  3. Let A(z1),A2(barz1) are the adjacent vertices of a regular polygon if ...

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  4. If the points A(z),B(-z),C(1-z) are the vertices of an equilateral tri...

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  5. Let z1 nez2 are two points in the Argand plane if a abs(z1)=b abs(z2) ...

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  6. The least positive integer n for which ((1+i)/(1-i))^n=2/pisin^(-1)((1...

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  7. If x=2+5i then the value of the expression x^3-5x^2+33x-49 is

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  8. The square root of (1+i) is

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  9. The curve represented by Im(z^2)=c^2 is

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  10. If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is eq...

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  11. If omega is complex cube root of unity then (3+5omega+3omega^2)^2+(3+3...

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  12. Let 0lealphalepi/2 be a fixed angle.if p=(costheta,sintheta) and Q=(co...

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  13. A man walks a distance of 3 units from the origin towards the north ea...

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  14. z^2+zabsz+absz^2=0 then the locus of z is

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  15. The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by

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  16. If z1,z2,z3 are three complex numbers and A= abs[[argz1,argz2,argz3],...

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  17. If abs(z-i)le2 and z0=5+3i then the maximum value of abs(absiz+z0) is

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  18. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

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  19. Let z=x+iy be a complex number where x and y are integers then the are...

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  20. If z and w are two nonzero complex numbers such the abs(zw)=1 and arg...

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