Let `S = {(x,y): (y(3x-1))/(x(3x-2))<0}, S'= {(x,y) in AxxB: -1 leqAleq1, -1 leqBleq1}, then the area of the region enclosed by all points in `SnnS'` is

Let S={(x,y):(x^(2))/(9)+(y^(2))/(4)<=1} and T={(x,y):|x|<=3;|y|<=2}

Let S={(x,y):(x^(2))/(9)+(y^(2))/(4)<=1} and T={(x,y):|x|<=3 and |y|<=2}

Find the value of (x+y) ,if (x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

Let y=(x^(2)+3x+1)/(x^(2)+x+1) then y in R then

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

{:("Column" A ,, "Column" B), (225x^(2) - 625 y^(2) = ,, (a) 25(x-2) (x-2)), (x^(2) - x - y - y^(2) = ,, (b) 25(3x- 5y) (3x + 5y)), (x^(2) - x - y^(2) + y = ,, (x + y) (x - y- 1)), (25x^(2) - 100 x + 100 = ,, (d) (x - y) (x + y -1)), (,,(e) (x + y) (x + y - 1)):}

Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^(2))) where |x|<(1)/(sqrt(3))* Then a value of y is : (1)(3x-x^(3))/(1-3x^(2))(2)(3x+x^(3))/(1-3x^(2))(3)(3x-x^(3))/(1+3x^(2))(4)(3x+x^(3))/(1+3x^(2))

If S=(x+y)(x-y)+(1)/(2!)(x+y)(x-y)(x^(2)+y^(2))+(1)/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2))+..., then S =