Home
Class 12
MATHS
If |z1|=2, |z2|=3, |z3|=4 and |2z1+3z2 ...

If `|z_1|=2, |z_2|=3, |z_3|=4` and `|2z_1+3z_2 + 4z_3|=9` , then value of `|8z_2z_3 + 27z_3z_1 + 64z_1z_2|^(1//3)` is :

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-4:MATCHING TYPE PROBLEMS|3 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

Similar Questions

Explore conceptually related problems

If |z_(1)|=2,|z_(2)|=3,|z_(3)|=4and|z_(1)+z_(3)+z_(3)|=2 ,then the value of |4z_(2)z_(3)+9z_(3)z_(1)+16z_(1)z_(2)|

If |z_(1)|=2,|z_(2)|=3,|z_(3)|=4 and |2z_(1)+3z_(2)+4z_(3)|=4 then the expression |8z_(2)z_(3)+27z_(3)z_(1)+64z_(1)z_(2)| equals (A) 72 (B) 24(C)96(D)92

If |z_(1)|=2.|z_(2)|=3.|z_(3)|=4and|z_(1),+z_(2)+z_(3)|=2, then the value of |4z_(2)z_(3)+9z_(3)z_(1)+16z_(1)z_(2)|

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to :

If |z_1|=1, |z_2| = 2, |z_3|=3 and |9z_1 z_2 + 4z_1 z_3+ z_2 z_3|=12 , then the value of |z_1 + z_2+ z_3| is equal to

If |z_(1)|=2,|z_(2)|=3,|z_(3)|=4and|z_(1)+z_(2)+z_(3)|=5. "then"|4z_(2)z_(3)+9z_(3)z_(1)+16z_(1)z_(2)| is

If |z_1=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=1, then |9z_1z_2+4z_3z_1+z_2z_3| is equal to (A) 3 (B) 36 (C) 216 (D) 1296

If |z_(1)|=1,|z_(2)|=2,|z_(3)|=3, and |9z_(1)z_(2)+4z_(1)z_(3)+z_(2)z_(3)|=12 then find the value of |z_(1)+z_(2)+z_(3)|

If |z_(1)|=|z_(2)|=|z_(3)| and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of