Home
Class 11
MATHS
" 28.If "(x+iy)^(1/3)=a+ib," where "x,y,...

" 28.If "(x+iy)^(1/3)=a+ib," where "x,y,a,b in R," then prove that "(x)/(a)-(y)/(b)=-2(a^(2)+b^(2))

Promotional Banner

Similar Questions

Explore conceptually related problems

If (x+iy)^(1//3)=a+ib , where x,y,a,b inR show that (x)/(a)-(y)/(b)=-2(a^(2)+b^(2)) .

If (x+iy)^((1)/(3))=a+ib where x,y,a,b are real numbers such that (x)/(a)-(y)/(b)=k(a^(2)+b^(2)) then the value of k is

If (x+iy)^(1//3) = a+ib , where a, b, x, y in R show that x/a - y/b = -2(a^(2) + b^(2)) .

If (x+iy)^(1/3)=a+ib , where a,b,x, y in R, show that x/a-y/b=-2(a^2+b^2) .

(x+iy)^((1)/(3))=(a+ib) then prove that ((x)/(a)+(y)/(b))=4(a^(2)-b^(2))

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))

If x is real , then root(3)(x+iy)=a+ib(ane0,bne0) ,then pove that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))

If (x - iy) ^(1//3) = a - ib, then show that (x)/(a) + (y)/(b) = 4 ( a ^(2) - b ^(2)).

(x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

(x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)