Home
Class 11
MATHS
If z=x+iy, z^(1/3)= a-ib and x/a-y/b=k(a...

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

A

2

B

4

C

6

D

1

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If z=x+iy and z^(1/3) = p+iq, then (x/p+y/q) ÷ ( p^2 - q^2 )=

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

If z=x+iy and abs(z - zi) = 1, then,

If x -iy = frac{a-ib}{c-id} , then prove that ( x^2 + y^2 ) = frac{a^2+b^2}{c^2+d^2}

If x/(3x-y-z)=(y)/(3y-z-x)=(z)/(3z-x-y) and x+y+z=0 then show that the value of each of the ratio is equal to 1.

If x +iy = (a + ib) / (a - ib) , prove that x^2 + y^2 = 1 .

If z=x-iy and z^frac{1}{3}= a+ib , then frac{frac{x}{a}+frac{y}{b}}{a^2+b^2}=