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If (1-sintheta)/(1+2isintheta) is purel...

If `(1-sintheta)/(1+2isintheta)` is purely imaginary then `theta=`

A

`npipmpi/3,ninZ`

B

`npi+(-1)pi/2,ninZ`

C

`npipmpi/4,ninZ`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If (a1+ib1)(a2+ib2)......(an+ibn)=A+iB, "then "Tan^(-1)(b1/a1)+Tan^(-1...

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  2. The real value of theta for which the expression (1 -isin theta)/(1 + ...

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  3. If (1-sintheta)/(1+2isintheta) is purely imaginary then theta=

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  4. If (3+2isintheta)/(3-2isintheta) is real , then theta =

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  5. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

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  6. If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is pu...

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  7. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

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  8. The principal value of the argument -sqrt(3)+i is

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  9. The amplitude of 1+costheta+isintheta is

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  10. The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

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  11. If pi//5 and pi//3 are the arguments of barz1 and z2 then the value of...

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  12. If pi//3 and pi//4 are the arguments of z1 and barz2 then the value of...

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  13. If 2pi//3 and pi//6 are the arguments of barz1 and z2 then value of ar...

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  14. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

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  15. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1|...

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  16. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1-...

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  17. If z is a complex number of unit modulus and argument theta then, arg ...

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  18. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  19. If z and omega are two nonzero complex numbers such that |zomega|=1 an...

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  20. If omega(ne1) is a cube root of unity , and (1+omega)^7=A+Bomega . The...

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