The maximum distance from origin of a point on the curve x = a sin t − b sin ( b a t ) y = a cos t − b cos ( b a t ) , both a , b 0 is

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The maximum distance from origin of a point on the curve x = a sin t − b sin ( b a t ​ ) y = a cos t − b cos ( b a t ​ ) , both a , b > 0 is

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Distance of origin from ( x , y ) = x 2 + y 2 ​ = a 2 + b 2 − 2 ab cos ( t − b a t ​ ) ​ = a 2 + b 2 − 2 ab ​ [ ∵ max ⋅ cos ( t − b a t ​ ) = 1 ] = a − b

Mathematics - Application of Derivative Question with Solution | TestHub

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