If a, b ∈ R & the quadratic equation ax 2 – bx + 1 = 0 has imaginary roots then a + b + 1…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If a, b ∈ R & the quadratic equation ax2 – bx + 1 = 0 has imaginary roots then a + b + 1 is
- positive
- negative
- zero
- depends on the sign of b
Answer
(A) positive
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If x = a + b, y = aα + bβ, z = aβ + bα, where α, β are complex cube roots of unity, (a, b ∈ R ), then xyz…
- If α and β are the roots of the quadratic equation, x 2 + x sinθ – 2 sinθ = 0, then is equal to
- If z_ 1 and z_ 2 are complex numbers satisfying both the equations |z|= 5 and | z- 2 (1+i) z |=1 then find…
- If a,b,c R, the equation and x^ 2 +2 x+3=0 have a common root, then a : b : c =
- If w= z z- 1 3 i and |w|=1 , then z lies on
- 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…
- The value of
- The value of amp (iω) + amp (iω 2 ), where i= -1 and = [3] 1 = non-real, is
More Complex Numbers and Quadratic Equations questions · Browse all practice questions