Mathematics Parabola, Ellipse and Hyperbola Ellipse

The line lx + my + n = 0 is a normal to the ellipse \(\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1\) if

1
\(\frac{{{a^2}}}{{{m^2}}} + \frac{{{b^2}}}{{{l^2}}} = \frac{{{{({a^2} - {b^2})}^2}}}{{{n^2}}}\)
2
\(\frac{{{a^2}}}{{{l^2}}} + \frac{{{b^2}}}{{{m^2}}} = \frac{{{{({a^2} - {b^2})}^2}}}{{{n^2}}}\)
3
\(\frac{{{a^2}}}{{{l^2}}} - \frac{{{b^2}}}{{{m^2}}} = \frac{{{{({a^2} - {b^2})}^2}}}{{{n^2}}}\)
4
None of these

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