COMEDK · Maths · 34. Three Dimensional Geometry
Let L be the foot of the perpendicular drawn from the point \(P(5, 3k-7, -4)\) to the YZ-plane. If the distance of point L from the origin is \(\sqrt{41}\) units, then the possible value of '\(k\)' is:
- A \(4\)
- B \(-\dfrac{2}{3}\)
- C \(1\)
- D \(\dfrac{11}{3}\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
The coordinates of the foot of the perpendicular L from the point \(P(5, 3k-7, -4)\) to the YZ-plane are obtained by setting its x-coordinate to zero. Thus, \(L = (0, 3k-7, -4)\). The distance of L from the origin is given as \(\sqrt{41}\).…
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