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Jee Main 2025 — Medium JEE math MCQ

The distance of the line \( \frac{x^2}{2} = \frac{y^6}{3} = \frac{z^3}{4} \) from the point \((1, 4, 0)\) along the line \( \frac{x}{4} = \frac{y^2}{2} = \frac{z^3}{3} \) is
  1. A. \( \sqrt{17} \)
  2. B. \( \sqrt{15} \)
  3. C. \( \sqrt{14} \)
  4. D. \( \sqrt{13} \)

Solution

The correct option is **C**. (C. \( \sqrt{14} \))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The distance of the line x22=y63=z34 \frac{x^2}{2} = \frac{y^6}{3} = \frac{z^3}{4} from the point (1,4,0)(1, 4, 0) along the line x4=y22=z33 \frac{x}{4} = \frac{y^2}{2} = \frac{z^3}{3} is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep