#Mark the correct alternative in each of the following

The number which exceeds its square by the greatest possible quantity is


Let the function be according to the question,


f(x)=x-x2


Here,it is asked “greatest possible quantity” so indirectly they are asking for the maximum value at which point x=?


so,f’(x)=1-2x


f’(x)=0


=>1-2x=0


x= �


f”(x)=-2<0


So for x= � maximum value of the function.


Option(A).

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