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Application of Derivatives question

2021 · 27 Aug · Shift 2 · Q30
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  5. /2021 · 27 Aug · Shift 2 · Q30

Application of Derivatives question

2021 · 27 Aug · Shift 2 · Q30

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
A box open from top is made from a rectangular sheet of dimension a ×\times× b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :
  1. A
    a+b−a2+b2−ab12{{a + b - \sqrt {{a^2} + {b^2} - ab} } \over {12}}12a+b−a2+b2−ab​​
  2. B
    a+b−a2+b2+ab6{{a + b - \sqrt {{a^2} + {b^2} + ab} } \over 6}6a+b−a2+b2+ab​​
  3. C
    a+b−a2+b2−ab6{{a + b - \sqrt {{a^2} + {b^2} - ab} } \over 6}6a+b−a2+b2−ab​​
  4. D
    a+b+a2+b2+ab6{{a + b + \sqrt {{a^2} + {b^2} + ab} } \over 6}6a+b+a2+b2+ab​​
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