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Find the normal to the ellipse (x^2)/(18...

Find the normal to the ellipse `(x^2)/(18)+(y^2)/8=1` at point (3, 2).

Text Solution

Verified by Experts

If two foci are (5,12) and S' (24,7) and the ellipse passes through the origin O then,
`S'O=sqrt(25+144)=13`
`S'O=sqrt(576+49)=25`
and `SS' =sqrt(386)`
and SS'=2ae
`:. E=(SS')/(S'+SO)=sqrt(386)/(38)`
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