Equation of a plane passing through the lines and which is at a distance of from the…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Equation of a plane passing through the lines 2x−y+z−3=0,3x+y+z−5=02x - y + z - 3 = 0, 3x + y + z - 5 = 0 and which is at a distance of 16\frac{1}{\sqrt{6}} from the point (2,1,−1)(2, 1, -1) is (1) 2x−y+z−3=02x - y + z - 3 = 0 (2) 3x+y+z−5=03x + y + z - 5 = 0 (3) 62x+29y+19z−105=062x + 29y + 19z - 105 = 0 (4) x+2y−2=0x + 2y - 2 = 0

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