Application of Derivatives
NCERT Class 12
CBSE
Grade 12
Question:
Two positive numbers whose sum is $16$ and whose sum of squares is minimum are:
(a) $8, 8$
(b) $10, 6$
(c) $12, 4$
(d) $9, 7$
Step-by-Step Solution
$S' = 4x - 32 = 0 \Rightarrow x = 8, 16-x = 8$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating numbers $= 8, 8$: 1.0 Mark
Correct Answer: $8, 8$
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