Class 12

Math

Calculus

Area

Consider curves $S_{1}:∣x∣ +∣y∣ =a ,S_{2}:x_{2}+y_{2}=a_{2}andS_{3}:∣x∣+∣y∣=a.Ifαis area bounded byS_{1}andS_{2},βis area bounded byS_{1}andS_{3}andγ$ is the area bounded by $S_{2}andS_{3},$ then

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