Consider a plane and the point

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Consider a plane x+y−z=1x + y - z = 1 and the point A(1,2,−3)A(1, 2, -3). A line LL has the equation x=1+3rx = 1 + 3r, y=2−ry = 2 - r, z=3+4rz = 3 + 4r The coordinate of a point BB of line LL, such that ABAB is parallel to the plane, is (1) (10,−1,15)(10, -1, 15) (2) (−5,4,−5)(-5, 4, -5) (3) (4,1,7)(4, 1, 7) (4) (−8,5,−9)(-8, 5, -9)

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