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If (cos 3alpha+isin3alpha)(cos 5beta+isi...

If `(cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " then " theta` is

A

`2alpha+3beta`

B

`3alpha+6beta`

C

`3alpha+5beta`

D

`2alpha+4beta`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The mod -amplitude form of sintheta-i cos theta is

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  2. If (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos...

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  3. If (cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " ...

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  4. If x+iy=cis, alpha, cis alpha then value of x^(2)+y^(2)

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  5. If cis alpha.cis beta.cis gamma=cis x then the value of x is

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  6. If A,B,C are angles of a triangle such that x = cis A , y = cis B , z...

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  7. For any two complex numbers z1,z2 and real numbers a and b , |az1 -bz2...

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  8. If |z1|=|z2|=1 , then |z1+z2| =

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  9. If (5z2)/(7z1) is purely imaginary , then |(2z1+3z2)/(2z1-3z2)|=

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  10. tan{ilog((a-ib)/(a+ib))}=

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  11. If |z-4//z|=2 then the greatest value of |z| is

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  12. The maximum value of |z| when z satisfies the condition |z+2/z|=2 is

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  13. The minimum value of |z-1|+ |z-5| is

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

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

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

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

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

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

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

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