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AP EAMCET202418 May 2024Morning ShiftMathematicsQuadratic EquationActual

If the roots of the quadratic equation x^2-35 x+c=0 are in the ratio 2: 3 and c=6 ~K , then K =

Options

  1. A49
  2. B14
  3. C21
  4. D7

Correct answer

A. 49

Step-by-step solution

Let roots of x^3-35 x+c=0 be 2 t and 3 t Now, 2 t+3 t= 35 1 5 t=35 t=7 Now, 2 t+3 t= 35 1 5 t=35 t=7 and 2 t 3 t=c c=6 49 6 K=6 49 K=49

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