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JEE Main2013MathematicsQuadratic EquationActual

If and are roots of the equation x^2+p x+ 3 p 4 =0 , such that | - |= 10 , then p belongs to the set :

Options

  1. A2,-5
  2. B-3,2
  3. C-2,5
  4. D3,-5

Correct answer

C. -2,5

Step-by-step solution

Given quadratic eqn. is x^2+p x+ 3 p 4 =0 So, + =-p, = 3 p 4 Now, given | - |= 10 aligned & - = 10 & ( - )^2=10 ^2+ ^2-2 =10 & ( + )^2-4 =10 & p^2-4 3 p 4 =10 p^2-3 p-10=0 & p=-2,5 p -2,5 aligned

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