Home
Class 12
MATHS
If (x - iy) ^(1//3) = a - ib, then show ...

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

Text Solution

Verified by Experts

The correct Answer is:
`4 (a^2 - b^2)`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 4

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long Answer type questions.)|9 Videos

  • MODEL PAPER 4

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long Answer type questions.)|9 Videos

  • MODEL PAPER 3

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer questions)|7 Videos

  • MODEL PAPER 6

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

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

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

If (x+iy)^(3) = u + iy , then show that u/x + v/y = 4(x^(2)-y^(2))

If x +iy = (3)/(2 + cos theta + isin theta) , show that x^(2) + y^(2) = 4x - 3

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

If cos ( x+ iy) = A + iB, then A =

If y =6 (x +1) + (a+ b x) e ^(3x) then show that y" v + y = 4x + 8

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

If (x + 3i)/(2 + iy) = 1 - i then the value of (5x - 7y)^(2) =