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If m1,m2,m3 and m4 respectively denote t...

If `m_1,m_2,m_3 and m_4` respectively denote the moduli of the complex numbers `1+4i,3+I,1-I and 2 -3i` , then the correct one , among the following is

A

`m_(1) lt m_(2) lt m_(3) lt m_(4)`

B

`m_(4) lt m_(3) lt m_(2) lt m_(1)`

C

`m_(3) lt m_(2) lt m_(4) lt m_(1)`

D

`m_(3) lt m_(1) lt m_(2) lt m_(4)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. The modulus of ((3 + i) (2 - i))/(1 +i) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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