The real number K for which the equation is, 2x3 + 3x + k = 0 has Two distinct real roots in {0,1}
Answer from the following options – (a) lies between 1 and 2 (b) lies between 2 and 3 (c) lies between -1 and 0 (d) does not exist
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12 Answers
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- 16 Apr
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As the graph of this function is increasing function so it can never cut x axis as as a result no roots are possible so answer is d
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- 06 Mar
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Correct option will be (d)br /emf/em(emx/em) = 2emx/em3 + 3emx /em+ emkf/em′(emx/em) = 6emx/em2 + 3emf/em′(emx/em) = 0br / ⇒ emx2 = -1/2/embr / Not Possible.br / As condition for two distinct real root is f(α) f(β) = 0br / (where α, β are roots of f '(x) = 0 )
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- 08 Apr
- 0 Comment
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If I remember correctly then this is a question of jee main 2013. As the others have answered the correct option is (d)