JEE Advanced 2012 Mathematics question
The point P is the intersection of the straight line joining the points Q(2, 3, 5) and R(1, −1, 4) with the plane 5x − 4y − z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1, 4) to QR, then the length of the line segment PS is
Answer: (A)
Solution
Direction of QR: ; points on the line: . Intersection with the plane: , so . Foot S from T(2, 1, 4): require $(point
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