Question

If x exceeds by its square by the greatest possible quantity then x is-

• A. $\frac { 1 } { 2 }$
• B. $\frac { 1 } { 4 }$
• C. $\frac { 3 } { 4 }$
• D. ) $\frac { 2 } { 3 }$

Answer 1

Answer: (A)

$\frac { 1 } { 2 }$

Answer 2

y = x – x²,

where y is greatest difference = 1 – 2x

\ = 0 Ž x = $\frac { 1 } { 2 }$

= – 2 < 0

\ at x = $\frac { 1 } { 2 }$ ; y will be max.