JEE Main 2025 — Vector Algebra Question with Solution
JEE Main 2025 (23 Jan Shift 1)
Question
Let the position vectors of the vertices and of a tetrahedron be and respectively. The altitude from the vertex to the opposite face meets the median line segment through of the triangle at the point . If the length of is and the volume of the tetrahedron is , then the position vector of is
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Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Area of volume of tetrahedron $\begin{aligned} & =\frac{1}{3} \times \text { Base area } \times \mathrm{h}=\frac{\sqrt{805}}{6 \sqrt{2}} \\ & \frac{1}{3} \times \frac{1}{2} \sqrt{35} \times \mathrm{h}=\frac{\sqrt{805}}{6 \sqrt{2}} \\ & \mathrm{~h}=\sqrt{\frac{23}{2}} \end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.