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Jee Main 2025Medium JEE math MCQ

Let \( P \) be the foot of the perpendicular from the point \( Q(10, -3, -1) \) on the line \( \frac{x-3}{7} = \frac{y-2}{1} = \frac{z+1}{2} \). Then the area of the right angled triangle \( PQR \), where \( R \) is the point \((3, -2, 1)\), is \begin{align*}
  1. A. \ 9\sqrt{15} & & \quad
  2. B. \ \sqrt{30}
  3. C. \ 8\sqrt{15} & & \quad
  4. D. \ 3\sqrt{30} \end{align*}

Solution

The correct option is **D**. (D. \ 3\sqrt{30} \end{align*})

MATH

mediumPYQ Reworded
Question
Read carefully, then pick the best option.
Let P P be the foot of the perpendicular from the point Q(10,3,1) Q(10, -3, -1) on the line x37=y21=z+12 \frac{x-3}{7} = \frac{y-2}{1} = \frac{z+1}{2} . Then the area of the right angled triangle PQR PQR , where R R is the point (3,2,1)(3, -2, 1), is \begin{align*}
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep