JEE Main 202229 Jun, Evening shiftMathematicsHardIntegral Calculus369× since 2002For real numbers a, b (a > b > 0), let Area {(x,y):x2+y2≤a2 and x2a2+y2b2≥1}=30π\left\{ {(x,y):{x^2} + {y^2} \le {a^2}\,and\,{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} \ge 1} \right\} = 30\pi{(x,y):x2+y2≤a2anda2x2+b2y2≥1}=30π and Area {(x,y):x2+y2≤b2 and x2a2+y2b2≤1}=18π\left\{ {(x,y):{x^2} + {y^2} \le {b^2}\,and\,{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} \le 1} \right\} = 18\pi{(x,y):x2+y2≤b2anda2x2+b2y2≤1}=18π Then, the value of (a −-− b)² is equal to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
