JEE Advanced 2015 Mathematics question
In , let be a straight line passing through the origin. Suppose that all the points on are at a constant distance from the two planes and . Let be the locus of the feet of the perpendiculars drawn from the points on to the plane . Which of the following points lie(s) on ?
Answer: (A),(B)
Solution
is parallel to both planes, so its direction is ; points of are . For such a point, , so the foot of the perpendicular on is
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