Mathematics · 2025
JEE Main · 7 April 2025, Shift 1 · Q4
Let the system of equations: 2 x+3 y+5 z=9; 7 x+3 y-2 z=8; 12 x+3 y-(4+λ) z=16-μ have infinitely many solutions. Then the radius of the circle…
Let the system of equations :
$$\begin{aligned}
& 2 x+3 y+5 z=9 \\
& 7 x+3 y-2 z=8 \\
& 12 x+3 y-(4+\lambda) z=16-\mu
\end{aligned}
$$
have infinitely many solutions. Then the radius of the circle centred at $\displaystyle (\lambda, \mu)$ and touching the line $\displaystyle 4 x=3 y$ is
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{7}{5}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.