Home
Class 12
MATHS
If root(3)(a+ib) = x + iy, prove that : ...

If `root(3)(a+ib)` = x + iy, prove that : `root(3)(a-ib) ` = x- iy .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

If sqrt(a-ib) = x-iy , prove that sqrt(a+ib) =x+iy.

If sqrt(a)+ib=x+iy prove that sqrt(a)-ib=x-iy

If sqrt(a+ib)=x+iy then prove that sqrt(a-ib)=x-iy

If (a+ib)/(c+id)=x+iy, prove that(i) (a-ib)/(c-id)=(x-iy)( ii) (a^(2)+b^(2))/(c^(2)+d^(2))=(x^(2)+y^(2))

If (a+ib)/(c+id)=x+iy, prove that (a-ib)/(c-id)=x-iy and (a^(2)+b^(2))/(c^(2)+d^(2))=x^(2)+y^(2)

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

If sqrt(a+ib)=x+iy , then value of sqrt(a-ib) is:

x + iy = (a + ib) / (a-ib), provethat x ^ (2) + y ^ (2) = 1

If sqrt(a+ib)=x+iy, then possible value of sqrt(a-ib) is x^(2)+y^(2) b.sqrt(x^(2)+y^(2)) c.x+iydx-iy e.sqrt(x^(2)-y^(2))