The number of pairs ( a ,   b ) of positive real numbers satisfying a 4 + b 4 < 1 and a 2 + b 2 > 1 is

Step-by-step solution

We have, a 4 + b 4 1 and a 2 + b 2 > 1 The graph of x 2 + y 2 = 1 and x 4 + y 4 = 1 are Clearly from graph. There are many positive real number ( a , b ) satisfying a 4 + b 4 1 and a 2 + b 2 > 1