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If |z1|=2,|z2|=3,|z3|=4 and |2z1+3z2+4z3...

If `|z_1|=2,|z_2|=3,|z_3|=4` and `|2z_1+3z_2+4z_3|=4` then the expression `|8z_2z_3+27z_3z_1+64z_1z_2|` equals (A) 72 (B) 24 (C) 96 (D) 92

A

24

B

48

C

72

D

96

Text Solution

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The correct Answer is:
D
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MOTION-COMPLEX NUMBER -EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN
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  2. If |z1|=2,|z2|=3,|z3|=4 and |2z1+3z2+4z3|=4 then the expression |8z2z3...

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  3. I f|z|=max{|z-1|,|z+1|}, then

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  4. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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

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  8. The locus of z which lies in shaded region is best represented by

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  9. If z1 & z2 are two complex number & if arg (z1+z2)/(z1-z2)=pi/2 but |z...

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  10. If magnitude of a complex number 4 – 3i is tripled and is rotated by a...

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  11. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

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  14. The points of intersection of the two curves |z – 3| = 2 and |z| = 2 i...

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  15. The region of Argand diagram defined by |z – 1| + |z + 1| le 4 is

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  18. Points z1 & z2 are adjacent vertices of a regular octagon. The vertex...

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  19. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

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  20. Let z1 and z2 be two nonreal complex cube roots of unity and (|z-z1|)^...

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