JEE Main 2024 Mathematics question
Let P(α, β, γ) be the image of the point Q(3, −3, 1) in the line and R be the point (2, 5, −1). If the area of the triangle PQR is λ and λ² = 14K, then K is equal to:
Answer: (D)
Solution
The foot of the perpendicular from Q(3, −3, 1) is F(−1, 2, 2) (parameter −1), so the image is P = 2F − Q = (−5, 7, 3). Then QP =
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