JEE Advanced 2009 Mathematics question
A line with positive direction cosines passes through the point P(2, −1, 2) and makes equal angles with the coordinate axes. The line meets the plane
2x + y + z = 9
at point Q. The length of the line segment PQ equals
Answer: (C)
Solution
Equal positive direction cosines are each , so the line is (2 + t, −1 + t, 2 + t) with direction (1, 1, 1). In
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