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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

The equation 2 x^3-3 x^2+p=0 has 3 distinct real roots then [p] is (Where [.] denotes the greatest integer function).

Correct answer

0

Step-by-step solution

Let f(x)=2 x^3-3 x^2+p f^ (x)=6 x^2-6 x=0 at x=0,1 f(0) 0 p 0f(1) 0 2-3+p 0 p 1 p (0,1) [p]=0

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