If `x^2 - y^2 = 16 and x + y > x - y`, then which one of the following could `x - y` equal ?

If x + y = 7 and x^2 + y^2 = 25 , then which one of the following equals the value of x^3 + y^3 ?

IF x^2+2xy+y^2=64 and y-x=12, which of the following could be the value of x?

For all nonzero numbers x and y, the operation grad is defined by the equation x grad y = (|x|)/(x^(2))+(y^(2))/(|y|) when x gt y and by the equation x grad y = (|x|)/(y^(2))-(x^(2))/(|y|) when x le y . If x grad y lt 0 , then which of the following could be true ? I. x^(3)=y^(3) II. (y+x)(y-x)gt 0 III. x-y gt 0

If x^y = y^x and y = 2x , then x is equal to :

Define the symbol # by the following equations: {:(x#y = (x - y)^(2),", if" x > y),(x#y = x + y//4,", if" x le y):} If x # y = -1 , which of the following could be true?

If (x,y) represents a point on the the graph of y=2x+1 , which of the following could be a portion of the graph of the set of points (x,y^(2)) ?

If x^y = y^x and y = 2x then x is equal to :

If x + y = 10 and xy = 16 , then the values of x^2 - xy + y^2 and x^2 + x y + y^2 are