Let z be a complex number such that | z-1 z+2 i |=1 and |z|= 5 2 . Then the value of | z…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Let z be a complex number such that \(\left|\frac{z-1}{z+2 i}\right|=1\) and \(|z|=\frac{5}{2}\). Then the value of \(|\mathbf{z}+\mathbf{3} i|\) is :
- \(\sqrt{10}\)
- \(2 \sqrt{3}\)
- \(\frac{7}{2}\)
- \(\frac{15}{4}\)
Answer
(A) 10
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If z = x + iy and w = (1 - iz) / (z - i), then |w| = 1 implies that, in the complex plane
- If a, - a, b are the roots of x^ 3 -5 x^ 2 -x+5=0 , then b is a root of
- If ( 1) is a cube root of unity and (1+ )^ 7 =A+B , then A and B are respectively
- If a,b,c are distinct rational numbers and a + b + c = 0, then the roots of the equation (b+c-a) x^ 2…
- If then x is equal to
- Product of real roots of the equation x 2 + |x| + 9 = 0
- If the equation (k – 2) x 2 – (k – 4) x – 2 = 0 has difference of roots as 3 then the value of k is
- The modulus and amplitude of (1+i 3 )(2+2 i) ( 3 -i) are respectively
More Complex Numbers and Quadratic Equations questions · Browse all practice questions