Let x(t) = 2 2 cos t 2t) and y(t) = 2 2 sin t 2t), t (0, /2). Then (1 + (dy/dx)^ 2 )/(d^ 2 y/dx^ 2 ) at t = /4 is equal to

JEE Main 2022 Mathematics question

Let cos t 2t) and sin t 2t), t (0, ). Then at is equal to

Answer: (4)

dx/dt = cos 2t) and dy/dt = sin 2t), so dy/dx = tan 3t, which equals −1 at . Then (dt/dx) =

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Question ID VK-034693