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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
Equation of the normal to the ellipse 4(x−1)2+9(y−2)2=364{\left( {x - 1} \right)^2} + 9{\left( {y - 2} \right)^2} = 36, which is parallel to the line 3x−y=13x - y = 1, is
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Correct option: D
3x−y=5(5+1)3x - y = \sqrt 5 \left( {\sqrt 5 + 1} \right)
Option D (3x−y=5(5+1)3x - y = \sqrt 5 (\sqrt 5 + 1)) is correct because it represents the equation of the normal to the given ellipse that is parallel to the line 3x−y=13x - y = 1.

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