The values of x and y for which 3 x -7-2 iy -5 y -5- x i areA- x-1- y-2B- x-2- y-1C- x-1- y-2D- x -2- y -1

Given (3x 7)+2iy= 5y+(5+x)i Equating the real parts and imaginary parts, we get nbsp; 3x 7= 5y and 2y=5+x ⇒ 3x+5y=7 and x 2y= 5 On solving both the equations ...

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Standard XII

Mathematics

Equality of 2 Complex Numbers

The values of...

Question

The values of $x$ and $y$ for which $(3 x - 7) + 2 i y = - 5 y + (5 + x) i$ are

x = 1, y = 2

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x = 2, y = 1

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x = - 1, y = 2

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x = - 2, y = 1

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Solution

The correct option is C $x = - 1, y = 2$
Given $(3 x - 7) + 2 i y = - 5 y + (5 + x) i$

Equating the real parts and imaginary parts separately ,
$3 x - 7 = - 5 y$ and $2 y = 5 + x$
$\Rightarrow 3 x + 5 y = 7$ and $x - 2 y = - 5$

On solving both the equations
$x = - 1, y = 2$

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Similar questions

Q. For what real values of

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and

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(3 x - 7) + 2 i y

and

- 5 y + (5 + x) i

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Q. The values of

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x + y = 1 and -x + y = -3

$Find the value for x, y for: 3 x - 7 = \frac{1}{y}, x + \frac{1}{y} = 1$

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Equality of 2 Complex Numbers

Standard XII Mathematics

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The values of x and y for which (3x−7)+2iy=−5y+(5+x)i are

The correct option is C x=−1,y=2Given (3x−7)+2iy=−5y+(5+x)i Equating the real parts and imaginary parts separately , 3x−7=−5y and 2y=5+x ⇒3x+5y=7 and x−2y=−5 On solving both the equations x=−1,y=2

The values of $x$ and $y$ for which $(3 x - 7) + 2 i y = - 5 y + (5 + x) i$ are

The correct option is C $x = - 1, y = 2$
Given $(3 x - 7) + 2 i y = - 5 y + (5 + x) i$

Equating the real parts and imaginary parts separately ,
$3 x - 7 = - 5 y$ and $2 y = 5 + x$
$\Rightarrow 3 x + 5 y = 7$ and $x - 2 y = - 5$

On solving both the equations
$x = - 1, y = 2$