Home
Class 12
MATHS
If (x+iy)^(1/3) = a + ib where x,y,a,...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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 x,y,a,b inR show that (x)/(a)-(y)/(b)=-2(a^(2)+b^(2)) .

If (x-iy ) ^(1/3) = a + ib, then (ax -by)/(a-b) =

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 z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then the value of k=

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

If x, y, a, b are real numbers such that (x+iy)^(1//5)=a + ib and p = (x)/(a) - (y)/(b) , then

If the slope of the line (x/a+y/b-1)+k(x/b+y/a-1)=0 is -1, then the value of k is

If z=x+iy, z^(1/3) = a-ib and x/a-y/b=k( a^2 - b^2 ) then k=