JEE Main 2022 Mathematics question
Let the image of the point P(1, 2, 3) in the line L : (x − 6)/3 = (y − 1)/2 = (z − 2)/3 be Q. Let , , ) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the value of is equal to .
Answer: 125
Solution
Let be the foot of the perpendicular from P to L; it is the midpoint of PQ. A point of the line is (, , ), and (3, 2, 3) gives , i.e.
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