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Application of Derivatives question

2019 · 10 Jan · Shift 2 · Q42
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  5. /2019 · 10 Jan · Shift 2 · Q42

Application of Derivatives question

2019 · 10 Jan · Shift 2 · Q42

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
A helicopter is flying along the curve given by y – x3/2 = 7, (x ≥\ge≥ 0). A soldier positioned at the point (12,7)\left( {{1 \over 2},7} \right)(21​,7) wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is -
  1. A
    1673{1 \over 6}\sqrt {{7 \over 3}}61​37​​
  2. B
    56{{\sqrt 5 } \over 6}65​​
  3. C
    12{1 \over 2}21​
  4. D
    1373{1 \over 3}\sqrt {{7 \over 3}}31​37​​
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