If the roots of the equations x 2 + 3x + 2 = 0 & x 2 – x + λ = 0 are in the same ratio of…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If the roots of the equations x2 + 3x + 2 = 0 & x2 – x + λ = 0 are in the same ratio of \(\frac{4 \lambda}{9}\)then the value of λ is given by
- \(\lambda = \frac{2}{9}\)
- \(\lambda = \frac{4}{9}\)
- \(\lambda = \frac{1}{9}\)
- \(\lambda = \frac{2}{3}\)
Answer
(A) = 2 9
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If a _ 1 be the roots of x ^ 2 - a ( x -1)+ b = 0 , then the value of 1 a^ 2 -a a^ 2 + 1 ^ 2 -a + 2 a+b is
- If e i θ = cos θ + i sin θ, then for the ∆ABC, e iA . e iB . e iC is
- If z 1 and z 2 are two non-zero complex numbers such that |z 1 + z 2 | = |z 1 | + |z 2 |, and arg z 1 – arg z…
- The number of integral solutions of x+1 x^ 2 +2 > 1 4 is :
- If ω is an imaginary cube root of unity, then (1 + w – w 2 ) 7 is equal to
- The sum of all real roots of the equation |x – 2| 2 + |x – 2| – 2 = 0, is
- If the difference between the roots of the equation x^ 2 +a x+1=0 is less than 5 . then the set of possible…
- If z_ 1 and z_ 2 are complex numbers satisfying both the equations |z|= 5 and | z- 2 (1+i) z |=1 then find…
More Complex Numbers and Quadratic Equations questions · Browse all practice questions