Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q13
Let the vertices Q and R of the triangle P Q R lie on the line (x+3)/5=(y-1)/2=(z+4)/3, Q R=5 and the coordinates of the point P be (0,2,3). If the…
Let the vertices $\displaystyle Q$ and $\displaystyle R$ of the triangle $\displaystyle P Q R$ lie on the line $\displaystyle \frac{x+3}{5}=\frac{y-1}{2}=\frac{z+4}{3}, Q R=5$ and the coordinates of the point $\displaystyle P$ be $\displaystyle (0,2,3)$. If the area of the triangle $\displaystyle P Q R$ is $\displaystyle \frac{m}{n}$ then:
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 2 m-5 \sqrt{21} n=0$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.