The value of a for which one root of the quadratic equation (a 2 – 5a + 3) x 2 + (3a – 1)…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

The value of a for which one root of the quadratic equation
(a2 – 5a + 3) x2 + (3a – 1) x + 2 = 0 is twice as large as the other, is of the form \(\frac{2}{3 k}\). Find the value of k.
  1. \(k=1\)
  2. \(k=2\)
  3. \(k=3\)
  4. \(k=1/2\)

Answer

(A) k=1

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