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. ∴IfS1=x21a2+y21b2−1<0 then P is inside. ∴S1=α216+(−α)29−1 =25(α)216.9−1<0 ⇒25α216.9<1⇒α2<16.925 ∴|α|<4.35=125 ⇒α∈(−125,125).