When simplified `(x^(-1)+y^(-1))^(-1)` is equal to `(a)\ x y` (b) `x+y` (c) `(x y)/(x+y)` (d) `(x+y)/(x y)`

When simplified (x^(-1)+y^(-1))^(1-) is equal to xy( b) x+y( c) (xy)/(x+y) (d) (x+y)/(xy)

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these

The expression (x+y)/(x-y)-:((x+y)^(2))/((x^(2)-y^(2))) is equal to -1( b) x-y( c) 1 (d) x+y is equal

If x=e^(y+e^(y+e^y^(------ ∞))) , x>0 , then (dy)/(dx) is equal to (A) (x)/(1+x) (B) (1)/(x) (C) (1-x)/(x) (D) (1+x)/(x)

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these

The locus of the middle point of the chord of the circle x ^(2) + y ^(2) = a ^(2) such that the chords passes through a given point (x _(1) , y _(1)), is : a) x ^(2) + y ^(2) - x x _(1) - y y _(1) =0 b) x ^(2) + y ^(2) = x _(1) ^(2) + y _(1) ^(2) c) x + y = x _(2) + y _(1) d) x + y = x _(1) ^(2) + y _(1) ^(2)

If x^(y)=y^(x), then ((x)/(y))^(x/y) is equal to a.x^(y/x) b.x^((x)/(y)-1) c.1d.x^((x)/(y))