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Question

Which of the following points is an exterior point of the ellipse 16x2+9y216x32=0.

A
(12,2)
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B
(14,2)
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C
(3,2)
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D
none of these
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Solution

The correct options are
B (14,2)
C (3,2)
Let S=16x2+9y216x32
Now S(12,2)=4+36832=0 point on the ellipse.
S(14,2)=1+36432>0 point is exterior to the ellipse.
S(3,2)=144+364832>0 point is exterior to the ellipse.

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