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Question

Find the set of values of α for which point the P(α,α) is inside
x216+y29=1


A
(125,125)
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B
[125,125]
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C
(135,135)
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D
(135,135]
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Solution

The correct option is A (125,125)
Let P(x1,y1) be the point, where x1=α,y1=α.
If S1=x21a2+y21b21 <0 then P is inside.
S1=α216+(α)291
=25(α)216.91<0
25α216.9 <1 α2 < 16.925
|α| < 4.35=125
α(125,125).

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