$A$ variable line passing through $(l, m)$ intersects the coordinate axes at the points $A$ and $B$. If the line drawn parallel to $Y$-axis through $A$ and parallel to $X$-axis through $B$ meet at $P$,then the locus of $P$ is

  • A
    $\frac{l}{x}+\frac{m}{y}=1$
  • B
    $\frac{x}{l}+\frac{y}{m}=1$
  • C
    $\frac{m}{x}+\frac{l}{y}=1$
  • D
    $\frac{x}{m}+\frac{y}{l}=1$

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