Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the number of integral points lying on or inside the ellipse 2x 2 + 6xy + 6y 2 –1 = 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x = 
x = 
x = 
2 – 3y 2 ≥ 0 ⇒ 3y 2 ≤ 2
– 
≤ y ≤ 
⇒ y = 0
let 2x 2 + 6xy + 6y 2 – 1 ≤ 0
y = 0 ⇒ 2x 2 – 1 ≤ 0
– 
≤ x ≤ 
⇒ x = 0 so (0,0) is the only point lying on or inside the ellipse.
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