The curve depends on the real parameter

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

Problem

The curve x2+y2−2x=myx^{2}+y^{2}-2x=my depends on the real parameter mm. For which value of mm does the curve possess a vertical tangent at some point whose yy–coordinate is 11? (a) m=−2m=-2 (b) m=2m=2 (c) m=0m=0 (d) m=4m=4

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