For real numbers a, b(a>b>0), let Area \{(x, y): x^2+y^2 \leq a^2. and .\frac{x^2}{a^2}+\frac{y^2}{b^2} \geq 1\}=30 \pi and Area \{(x, y): x^2+y^2 \leq b^2. and .\frac{x^2}{a^2}+\frac{y^2}{b^2} \leq 1\}=18 \pi Then, the value of (a-b)^2 is equal to____ [29-Jun-2022-Shift-2]

JEE Main 29 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 25 of 90

Marks: +1, -0

For real numbers a,b(a>b>0), let
Area {(x,y):x2+y2≤a2. and .‌

+‌

≥1}=30π and
Area {(x,y):x2+y2≤b2. and .‌

+‌

≤1}=18π
Then, the value of (a−b)2 is equal to____

[29-Jun-2022-Shift-2]

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