The number of distinct pairs (x, y) of the real number satisfying `x = x^3 + y^4` and y=2xy is

The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4x + 2 = sin^2 y and x^2 + y^2 <= 3 equal to

The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4x + 2 = sin^2 y and x^2 + y^2 <= 3 equal to

The number of ordered pairs (x,y) of real number satisfying 4x^(2)-4x+2=sin^(2)y and x^(2)+y^(2)<=3 equal to

the number of distinct pairs (x y of real numbbers that satisy the equation 4x^(2)+4xy+2y^(2)-2y+1=0

The number of ordered pair(s) (x, y) of real numbers satisfying the equation 1+x^(2)+2x sin(cos^(-1)y)=0 , is :

The number of ordered pair(s) (x, y) of real numbers satisfying the equation 1+x^(2)+2x sin(cos^(-1)y)=0 , is :

The number of ordered pairs (x,y) of real numbers that satisfy the simultaneous equations x+y^(2)=x^(2)+y=12 is

The number of ordered pairs (x,y) where x in R,y in R, satisying equations x^(3)+y^(3)=7 and x^(2)+y^(2)+x+y+xy=4 is equal to