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If theta is real then the modulus of (1)...

If `theta` is real then the modulus of `(1)/(1 + cos theta + isin theta) ` is

A

`(1)/(2) "sec" (theta)/(2)`

B

`(1)/(2) "cos" (theta)/(2)`

C

`sec"" (theta)/(2)`

D

`cos "" (theta)/(2)`

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
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  3. If theta is real then the modulus of (1)/(1 + cos theta + isin theta) ...

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  5. If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + al...

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  6. Express (3- 2i)/(5 + 4i) + (3 + 2i)/(5 - 4i) in the form of a + ib

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  7. The conjugate of (2 + 3i)/(1 + 2i) is

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  8. If (2 - i)/((1 - 2i)^(2)) and (-(x + 11i))/(25) are conjugate complex ...

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  9. The modulus of ((3 + i) (2 - i))/(1 +i) is

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  10. If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

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  11. If m1,m2,m3 and m4 respectively denote the moduli of the complex numbe...

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  12. The mod-amplitude form of -sqrt3 - i

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  13. The mod-amplitude form of sin theta + icos theta is

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

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  15. If (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

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  16. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

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  17. The argument of ((1 - isqrt3))/((1+isqrt3)) is equal to

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  18. Given |z| = 14 and amp z = (7pi)/(6) , then z is =

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  19. If (sqrt3 + i) = (a + ib) (c + id) then tan^(-1) (b)/(a) + tan^(-1) (d...

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

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