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  1. The roots of the equation 3a2x2 - abx - 2b2 = 0 are
    1. b
      ,
      - 2b
      a
      3a
    2. b
      ,
      2b
      a
      3a
    3. - b
      ,
      - 2b
      a
      3a
    4. None of these
Correct Option: A

According to question ,
The given quadratic equation is
3a2x2 - abx - 2b 2 = 0 ⇒ 3a 2 x 2 - 3abx + 2abx - 2b 2 = 0
⇒ 3ax ( ax - b ) + 2b ( ax - b ) = 0
⇒ ( ax - b ) ( 3ax + 2b ) = 0
⇒ ax = b or 3ax = - 2b

⇒ x =
b
or x = -
2b
a
3a

Hence , option A will be required answer .



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