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Questions  

The point of inflection of y=x3-5x2+ 3x  5 is

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By Expert Faculty of Sri Chaitanya
a
12
b
34
c
74
d
54

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detailed solution

Correct option is D

Since y is twice differentiable function so for inflection points y''(x)=0,y'''(x)≠0y'(x)=3x2-10x+3y''=6x-10.   So, y''(x)=0 if x=54y'''(x)=6≠0.   So, x=54 is a point of inflection.
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The set of value(s) of a for which the function f(x)=ax33+(a+2)x2+(a1)x+2 possesses a negative point of inflection is

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