AAI ATC Junior Executive 26 Dec 2015 Shift 1 Paper

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Question : 116 of 120

Marks: +1, -0

The line lx + my + n = 0 is a normal to the ellipse

\;{x^{2}}/{a^{2}} + \;{y^{2}}/{b^{2}} = 1

if

$\;{a^{2}}/{l^{2}}−\;{b^{2}}/{m^{2}} = \;{ (a^{2}−b^{2}) ^{2}}/{n^{2}}$
$−\;{a^{2}}/{l^{2}}−\;{b^{2}}/{m^{2}}−\;{ (a^{2}−b^{2}) ^{2}}/{n^{2}} = 0$
$\;{a^{2}}/{l^{2}} + \;{b^{2}}/{m^{2}} = \;{ (a^{2}−b^{2}) ^{2}}/{n^{2}}$
$\;{a^{2}}/{l^{2}} + \;{b^{2}}/{m^{2}} + \;{ (a^{2}−b^{2}) ^{2}}/{n^{2}} = 0$

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