The average of the reciprocals of `x` and `y` is (a) `((x+y))/((x-y))` (b) `((x+y))/(2x y)` (c) `(2(x+y))/(x y)` (d) `(2x y)/((x+y))`

The third proportional to (x^(2)-y^(2)) and (x-y) is (x+y) b.(x-y)c(x+y)/(x-y) d.(x-y)/(x+y)

If x=2 and y=4, then ((x)/(y))^(x-y)+((y)/(x))^(y-x)=4(b)8(c)12(d)2

The following steps are involved in the factorisation of x^(2) (x - y) + (y-x) y^(2) . Arrange them in sequential order from the first to the last . (A) (x-y) [x^(2) - y^(2)] (B) x^(2)(x-y) - ( x- y) y^(2) (C) (x-y)^(2) (x + y) (D) (x-y) [(x + y)( x-y)]

If a=(x)/(x+y) and b=(y)/(x-y), then (ab)/(a+b) is equal to (a) (xy)/(x^(2)+y^(2)) (b) (x^(2)+y^(2))/(xy)( c) (x)/(x+y) (d) ((y)/(x+y))^(2)

If x=2 and y=4 , then ((x)/(y))^(x-y)+((y)/(x))^(y-x) =________.

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

x and y:y^(x)=x^(y);x=2y