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AP EAMCET202422 May 2024Morning ShiftMathematicsQuadratic EquationActual

If both the roots of the equation x^2-6 a x+2-2 a+9 a^2=0 exceeds 3 , then

Options

  1. Aa 3 2
  2. Ba 3 2
  3. Ca 5 2
  4. Da 11 9

Correct answer

D. a 11 9

Step-by-step solution

aligned & x^2-6 a x+2-2 a+9 a^2=0 & D 0 36 a^2-4 (2-2 a+9 a^2 ) 0 & 8(a-1) 0 a 1 aligned f(3) 0 9-18 a-2 a+9 a^2+2 0 aligned & 9 a^2-20 a+11 0 & (9 a-11)(a-1) 0 a 11 9 & f^ (3) 0 6-6 a 0 a 1 aligned Condition for roots to be greater than 3 is a 11 9 .

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