The conjugate of complex number 2 - 3i-4 - i is-

Rationalize the given complex number by multiplying both numerator amp; denominator with 4 + i. 2 3i/4 i × 4 + i/4 + i = 8 10i + 3/16 + 1 = 11 10i/1 ...

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Standard XI

Mathematics

Conjugate of a Complex Number

The conjugate...

Question

The conjugate of complex number $\frac{2 - 3 i}{4 - i}$ is_______.

$\frac{2 + 3 i}{4 - i}$

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$\frac{11 + 10 i}{17}$

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$\frac{11 - 10 i}{17}$

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$\frac{2 + 3 i}{4 i}$

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Solution

The correct option is B
$\frac{11 + 10 i}{17}$

Rationalize the given complex number by multiplying both numerator & denominator with 4 + i.

$\frac{2 - 3 i}{4 - i}$ $\times$ $\frac{4 + i}{4 + i}$ = $\frac{8 - 10 i + 3}{16 + 1}$ = $\frac{11 - 10 i}{17}$

Conjugate is $\frac{11 + 10 i}{17}$ .

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The conjugate of complex number 2−3i4−i is_______.

The correct option is B 11+10i17 Rationalize the given complex number by multiplying both numerator & denominator with 4 + i. 2−3i4−i × 4+i4+i = 8−10i+316+1 = 11−10i17 Conjugate is 11+10i17.

The conjugate of complex number $\frac{2 - 3 i}{4 - i}$ is_______.

The correct option is B
$\frac{11 + 10 i}{17}$

Rationalize the given complex number by multiplying both numerator & denominator with 4 + i.

$\frac{2 - 3 i}{4 - i}$ $\times$ $\frac{4 + i}{4 + i}$ = $\frac{8 - 10 i + 3}{16 + 1}$ = $\frac{11 - 10 i}{17}$

Conjugate is $\frac{11 + 10 i}{17}$ .