Consider the curve for

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the curve x=1−cos⁡t,  y=t−sin⁡tx=1-\cos t,\;y=t-\sin t for 0≤t≤2π0\le t\le 2\pi. At which value of tt does the curve have a vertical tangent? (a) t=0,  π,  2πt=0,\;\pi,\;2\pi (b) t=πt=\pi (c) t=0t=0 (d) t=π2t=\dfrac{\pi}{2}

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