Show that the plane touches the sphere .

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

Problem

Show that the plane 2x−2y+z+12=02x - 2y + z + 12 = 0 touches the sphere x2+y2+z2−2x−4y+2z−3=0x^2 + y^2 + z^2 - 2x - 4y + 2z - 3 = 0 .

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