Let a _ 1 be real and z be a complex number, z^ 2 + z+ =0 has two distinct roots on the…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Let \(\mathrm{a}_{1} \beta\) be real and z be a complex number, \(z^{2}+\pi z+\beta=0\) has two distinct roots on the line Re z = 1, then it is necessary that
- \(\beta \in(-1,0)\)
- \(|\beta|=1\)
- \(\beta E(1, \infty)\)
- \(\beta \in(0,1)\)
Answer
(D) (0,1)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let II and be the roots of equation p x^ 2 +q x+r=0, p 0 . If p, q, r are in A.P. and 1 x + 1 =4 , then the…
- If |z- 4 z |=z then the maximum value of |z| is equal to
- The sum of 10 th power of 4 th roots of unity is
- If z is a non-zero complex number, then | z |^ 2 z z is equal to
- Find the value of p if 3x 2 - 2x + p = 0 and 6x 2 - 17x + 12 = 0 have a common root
- The principal amplitude of (sin 40 o + i cos 40 o ) 5 is
- If is complex cube root of unity and a, b, c are three real numbers such that array l 1 a+ + 1 b+ + 1 c+ =2 ^…
- If x, , Y are the roots of the equation a x^ 3 +b x^ 2 +c=0 , then the equation whose roots are x + , + x , x…
More Complex Numbers and Quadratic Equations questions · Browse all practice questions