If a, b, p, q are non-zero real numbers, the two equations, 2 a 2 x 2 – 2 abx + b 2 = 0…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If a, b, p, q are non-zero real numbers, the two equations, 2 a2x2 – 2 abx + b2 = 0 and p2x2 + 2 pqx + q2 = 0 have
  1. no common root
  2. one common root if 2 a2 + b2 = p2 + q2
  3. two common roots if 3 pq = 2 ab
  4. two common roots if 3 qb = 2 ap

Answer

(A) no common root

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