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

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

The quotient of x\ b y\ y added to the product of x\ a n d\ y is written as (a) x/y+x y (b) y/x+\ x y (c) (x y+x)/y (d) (x y+y)/x

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

If sec((x-y)/(x+y))=a,"then "(dy)/(dx) is a) (y)/(x) b) -(y)/(x) c) (x)/(y) d) -(x)/(y)

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 (x)/(x-y)=log((a)/(x-y)) then (dy)/(dx) is (a) (x)/(y), (b) 2-(x)/(y), (c) 2, (d) (x-y)/(x)

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)