If |z_ 1 |=1, |z_ 2 |=2, |z_ 3 |=3 and |9 z_ 1 z_ 2 +4 z_ 3 z_ 1 +z_ 2 z_ 3 |=6, then…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(\left|z_{1}\right|=1,\left|z_{2}\right|=2,\left|z_{3}\right|=3\) and \(\left|9 z_{1} z_{2}+4 z_{3} z_{1}+z_{2} z_{3}\right|=6,\) then value of \(\left|z_{1}+z_{2}+z_{3}\right|\) is
- \(1\)
- \(2\)
- \(3\)
- \(6\)
Answer
(A) 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let i= -1 . If (-1+i 3 )^ 21 (1-i)^ 24 + (1+i 3 )^ 21 (1+i)^ 24 =k, and n=[|k|] be the greatest integral part…
- If a,b,c are distinct rational numbers then roots of equation (b+c-2 a) x^ 2 +(c+a-2 b) x+(a+b-2 c)=0 are
- Let a _ 1 be real and z be a complex number, z^ 2 + z+ =0 has two distinct roots on the line Re z = 1, then…
- If ( 1+ i 1- i )^ x =1, then
- The value of 'a' for which one root of quadratic equation (a^ 2 -5 a+3 ) x^ 2 +(3 a-1) x+2=0 is twice as…
- C is the complex numbers f: C R is defined by f(z)= |z^ 3 -z+z | . The maximum value of f on the circle |z|=1…
- If complex number z = x + iy satisfies the equation Re (z + 1) = |z - 1|, then z lies on
- If l , m, n are real, l ≠ m, then the roots of the equation ( l – m) x 2 – 5 ( l + m) x – 2 ( l – m) = 0 are
More Complex Numbers and Quadratic Equations questions · Browse all practice questions