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If (pi)/(5) and (pi)/(3) are respectivel...

If `(pi)/(5)` and `(pi)/(3)` are respectively the arguments of `barz_(1)` and `z_(2)` , then the value of Arg `(z_(1)- z_(2))` is

A

`(pi)/(15)`

B

`(3pi)/(15)`

C

-`(8pi)/(15)`

D

`(4pi)/(15)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
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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 (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

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

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

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

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

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

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  9. If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

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  10. If |z| = 1 and arg [z^(2) + barz] = x arg z then x

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  11. If z = x + iy and if the point P in the Argand plane represents z , th...

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

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

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

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

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  16. The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^...

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  17. If |z+i|^2-|z-i|^2=3 then the locus of z is

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  18. The points representing the complex numbers z for which |z+4|^2-|z-4|^...

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  19. If (2z(1))/(3z(2)) is purely , an imaginary number , then |(z(1) - z(2...

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  20. If |z(1) | = |z(2)| = 1 , then |z(1) + z(2)| =

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