Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the set of those value(s) of ' α ' for which the point 
lies inside the ellipse 
+ 
=1.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. For any point to lies inside the ellipse, S 1 < 0
⇒ 
< 0 ⇒ 
< 0 ⇒ (28 – 5 α ) 2 + 25 α 2 – 400 < 0
⇒ 50 α 2 – 280 α – 384 < 0 ⇒ 25 α 2 – 140 α – 192 < 0 ⇒ (5 α – 12) (5 α – 16) < 0 ⇒ 
< α < 
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