(2x)/(a)+(y)/(b)=2" sit "(x)/(a)-(b)/(b)rArr4

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))

(x)/(a)+(y)/(b)=a^(2)+b^(2) and (x)/(a^(2))+(y)/(b^(2))=a+b

Solve: (x)/(a)+(y)/(b)=a^(2)+b^(2) and (x)/(a^(2))+(y)/(b^(2))=a+b

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

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

If lim_(x rarr0)(f(x))/(x^(2))-a and lim_(x rarr0)(f(1-cos x))/(g(x)sin^(2)x)=b(whereb!=0) then lim_(x rarr0)(g(1-cos2x))/(x^(4)) is (4a)/(b) b.(a)/(4b) c.(a)/(b) d.none of these

The foci of hyperbola xy = ((a^2 + b^2)/(4)) are given by (A) x = y = +- ((a^2 + b^2)/(4a)) (B) x = y = +- ((a^2 + b^2)/(4b)) (C) x = y = +- ((a^2 + b^2)/(2a)) (D) x = y = +- ((a^2 + b^2)/(2b))

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)