Show that the line touches a circle for all values of

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Show that the line (x−2)cos⁡θ+(y−2)sin⁡θ=1(x - 2) \cos \theta + (y - 2) \sin \theta = 1 touches a circle for all values of θ\theta. Find the circle.

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