`y=2-x^(2), y=x^(2)`

If x% y=y^(2)-x^(2),x$ y=x-:y^(2),x#y=2xy , then value of {(13%5)$6}#15 is

The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq.units. Then the equation of the circle is x^(2)+y^(2)+2x-2y=62x^(2)+y^(2)+2x-2y=47x^(2)+y^(2)-2x-2y=47x^(2)+y^(2)-2x+2y=62

Show that f (x,y) = (2x ^(2) -y ^(2))/sqrt(x ^(2) + y ^(2)) is a homogeneous function of degree 1.

Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(2)) : (x + y)^(2) " and " (x^(2)-y^(2))^(2) : (x^(4) - y^(4)) .

Find the compounded ratio of: (x+y): (x-y), (x^(2) + y^(2)): (x+y)^(2) and (x^(2)-y^(2))^(2): (x^(4)-y^(4))

Given (x^(2)+y^(2))/(x^(2)-y^(2))+(x^(2)-y^(2))/(x^(2)+y^(2))=k then (x^(8)+y^(8))/(x^(8)-y^(8)) in terms of k is equal to