Mathematics · 2025
JEE Main · 23 January 2025, Shift 2 · Q8
A rod of length eight units moves such that its ends A and B always lie on the lines x-y+2=0 and y+2=0, respectively. If the locus of the point P,…
A rod of length eight units moves such that its ends A and B always lie on the lines $\displaystyle x-y+2=0$ and $\displaystyle y+2=0$, respectively. If the locus of the point P , that divides the rod AB internally in the ratio $\displaystyle 2: 1$ is $\displaystyle 9\left(x^2+\alpha y^2+\beta x y+\gamma x+28 y\right)-76=0$, then $\displaystyle \alpha-\beta-\gamma$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 23$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.