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Find the real numbers x and y if (x-iy) ...

Find the real numbers x and y if (x-iy) (3+5i) is the conjugate of `-6 - 24 i`.

Text Solution

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The correct Answer is:
x=3, y`=-3`
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Knowledge Check

  • The conjugate of (1+2i)(2-3i) is

    A
    `-4+i`
    B
    `-4,-i`
    C
    `8+i`
    D
    `8-i`

  • If the complex numbers sin x + I cos 2 x and cos x - I sin 2 x are conjugate to each other, then the set of

    A
    `n pi, n in Z`
    B
    `(2 n + 1) (pi)/(2), n in Z`
    C
    {0}
    D
    `phi`

  • If the conjugate of (x+iy) (1-2i) is (1+i) , then

    A
    `x +iy = 1-i`
    B
    `x +iy = (1-i)/(1-2i)`
    C
    `x -iy = (1-i)/(1+2i)`
    D
    `x -iy = (1-i)/(1+i)`

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    Find the value of k if the points (4,2) and (k-3) are conjugate points with respect to the circle x^(2)+y^(2)-5x+8y+6=0

    Find the value of k if the point (4,2) and (k,-3) are conjugate points with respect to the circles x^(2) + y ^(2) -5x +8y +6=0

    Find the value of k if the point (4,2) and (k,-3) are conjugate points with respect to the circles x^(2) + y ^(2) -5x +8y +6=0

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