A line $lx + my + n = 0$ meets the circle ${x^2} + {y^2} = {a^2}$ at the points $P$ and $Q$. The tangents drawn at the points $P$ and $Q$ meet at $R$, then the coordinates of $R$ is
A line $lx + my + n = 0$ meets the circle ${x^2} + {y^2} = {a^2}$ at the points $P$ and $Q$. The tangents drawn at the points $P$ and $Q$ meet at $R$, then the coordinates of $R$ is
- A
$\left( {\frac{{{a^2}l}}{n},\frac{{{a^2}m}}{n}} \right)$
- B
$\left( {\frac{{ - {a^2}l}}{n},\frac{{ - {a^2}m}}{n}} \right)$
- C
$\left( {\frac{{{a^2}n}}{l},\frac{{{a^2}n}}{m}} \right)$
- D
None of these
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- [JEE MAIN 2024]