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If the point z = (1+i) (1+2i)(1+3i)…(1+1...

If the point `z = (1+i) (1+2i)(1+3i)…(1+10i)` lies on a circle with centre at origin and radius r, then `r^(2)` =

A

`10!`

B

`2xx3xx4xx…….xx10`

C

`2xx5xx10xx…..xx101`

D

`11!`

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Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The minimum value of |z-1|+ |z-5| is

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  2. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

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  3. If the point z = (1+i) (1+2i)(1+3i)…(1+10i) lies on a circle with cent...

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  4. If |z-1| = 2 then the locus of z is

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  5. If |3z-2|=5 then the locus of z is

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  6. If |z-3+i| = 4 then the locus of z = x +iy is

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  7. If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

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  8. The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|...

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  9. If |(z-a)/(z+a)|=1 where Re (a)ne0 then locus of z = x +iy is

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  10. If |(z-i)/(z+i)|=1 then the locus of z is

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  11. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

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  12. The locus of the point z = x + iy satisfying |(z-2i)/(z+2i)|=1 is

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  13. If |(z+4i)/(z-2)|=2 then the locus of z is

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  14. The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i...

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  15. The complex equation |z+1-i|=|z+i-1| represents a

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  16. The locus represented by |z-1|=|z+i| is

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  17. If a is real number such that |z-ai|=|z+ai| , then the locus of z is

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  18. In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z...

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  19. The locus of z satisfying |z|+|z-1|= 3 is

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  20. If omega=z/(z-1/3i) and |omega|=1 then z lies on

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