Q7 of 137 Page 19

#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).

More from this chapter

All 137 →
5

#Mark the correct alternative in each of the following

Let f(x) = x3 + 3x2 – 9x + 2. Then f(x) has


 6

#Mark the correct alternative in each of the following

The minimum value of f(x) = x4 – x2 – 2x + 6 is


 8

#Mark the correct alternative in each of the following

Let f(x) = (x – a)2 + (x – b)2 + (x – c)2. Then, f(x) has a minimum at x =


 9

#Mark the correct alternative in each of the following

The sum of two non-zero numbers is 8, the minimum value of the sum of their reciprocals is