If 3 p^ 2 =5 p+2 and 3 q^ 2 =5 q+2 where p ≠ q, then the equation whose roots are 3 p-2 q…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If \(3 p^{2}=5 p+2 \text { and } 3 q^{2}=5 q+2\) where p ≠ q, then the equation whose roots are

\(3 p-2 q \text { and } 3 q-2 p\) is

  1. \(3 x^{2}-5 x-100=0\)
  2. \(5 x^{2}+3 x+100=0\)
  3. \(3 x^{2}-5 x+100=0\)
  4. \(3 x^{2}+5 x-100=0\)

Answer

(A) 3 x^ 2 -5 x-100=0

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