[(2x)/(a)+(y)/(b)=2],[(x)/(a)-(y^(2))/(b)=4]

2(x/a)+(y/b)=2; (x/a)-(y/b)=4

If (x+iy)^(1/3)=a+ib,x,y,ab in R. Show that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))( ii) (x)/(a)-(y)/(b)=2(a^(2)+b^(2))

The locus of the middle points of the portions of the tangents of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axis is the curve (a) (x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(4) (b) quad (a^(2))/(x^(2))+(b^(2))/(y^(2))=4 (c) a^(2)x^(2)+b^(2)y^(2)=4 (d) b^(2)x^(2)+a^(2)y^(2)=4

{:((a^(2))/(x) - (b^(2))/(y) = 0),((a^(2)b)/(x)+(b^(2)a)/(y) = "a + b, where x, y"ne 0.):}

Solution to (a^2)/(x)-(b^2)/(y)=0, (a^2b)/(x)+(b^2a)/(y)=a+b,x ne0,y ne0 is………

{:((a^(2))/(x) - (b^(2))/(y) = 0),((a^(2)b)/(x)+(b^(2)a)/(y) = "a + b, where x, y"ne 0.):}

x=a cosec theta+b cot theta, y=a cosec theta-b cot theta . Then, ((x+y)/(a))^(2)-((x-y)/(b))^(2)=4

Factorize each of the following algebraic expressions: (x-y)^(2)+(x-y)6(a+2b)-4(a+2b)^(2)a(x-y)+2b(y-x)+c(x-y)^(2)-4(x-2y)^(2)+8(x-2y)

Factorize each of the following algebraic expressions: x^(3)(a-2b)+x^(2)(a-2b)2x-3y)(a+b)+(3x-2y)(a+b)4(x+y)(3a-b)+6(x+y)(2b-3a)