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Application of Derivatives question

2002 · Shift 0 · Q77
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  5. /2002 · Shift 0 · Q77

Application of Derivatives question

2002 · Shift 0 · Q77

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The maximum distance from origin of a point on the curve x=asin⁡t−bsin⁡(atb)y=acos⁡t−bcos⁡(atb),x = a\sin t - b\sin \left( {{{at} \over b}} \right)y = a\cos t - b\cos \left( {{{at} \over b}} \right),x=asint−bsin(bat​)y=acost−bcos(bat​), both a,b>0a,b \gt 0a,b>0 is
  1. A
    a−ba-ba−b
  2. B
    a+ba+ba+b
  3. C
    a2+b2\sqrt {{a^2} + {b^2}}a2+b2​
  4. D
    a2−b2\sqrt {{a^2} - {b^2}}a2−b2​
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