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JEE Math Practice Question

The set of all values of K > $$-$$1, for which the equation $${(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2} + 4x + 2) + k{(3{x^2} + 4x + 2)^2} = 0$$ has real roots, is :

  1. A.$$\left( {1,{5 \over 2}} \right]$$
  2. B.[2, 3)
  3. C.$$\left[ { - {1 \over 2},1} \right)$$
  4. D.$$\left( {{1 \over 2},{3 \over 2}} \right] - \{ 1\} $$

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