If `(3)/(x+y)+(2)/(x-y)=2` and `(9)/(x+y)-(4)/(x-y)=1` then
`(a) x=(1)/(2),y=(3)/(2)`,
`(b) x=(5)/(2),y=(1)/(2)`
`(c) x=(3)/(2),y=(1)/(2)` ,
`(d) x=(1)/(2),y=(5)/(2)`

Find (x+y)+(x-y), if x=(2)/(3),y=(3)/(2) (ii) x=(2)/(5),y=(1)/(2)

Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ( 4)/(x - y) = 1 .

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)

The solution of (dy)/(dx)=(1)/(2x-y^(2)) is given by , (A) y=Ce^(-2x)+(1)/(4)x^(2)+(1)/(2)x+(1)/(4)," 4"(1)/(2)," (B) "x=Ce^(-y)+(1)/(4)y^(2)+(1)/(4)y+(1)/(2)," (C) "x=Ce^(y)+(1)/(4)y^(2)+y+(1)/(2)," (D) "x=Ce^(2y)+(1)/(2)y^(2)+(1)/(2)y+(1)/(4)

If (x)/(y)=(1)/(3), then (x^(2)+y^(2))/(x^(2)-y^(2))=?(a)-(10)/(9) (b) (5)/(4)(c)-(5)/(4)(d)-(5)/(3)

[" The solution of "(dy)/(dx)=(1)/(2x-y^(2))" is given by "],[[" (A) "y=Ce^(-2x)+(1)/(4)x^(2)+(1)/(2)x+(1)/(4)," (B) "x=Ce^(-y)+(1)/(4)y^(2)+(1)/(4)y+(1)/(2)],[" (C) "x=Ce^(y)+(1)/(4)y^(2)+y+(1)/(2)," (D) "x=Ce^(2y)+(1)/(2)y^(2)+(1)/(2)y+(1)/(4)]]

If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1)=1, then (a y'(1)=(4)/(3)(b)y'(1)=-(4)/(3)(c)y''(1)=-8(22)/(27) (d) y'(1)=(2)/(3)

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(d)=y b.(y)/(3) c.(y)/(9) d.(y)/(27)