The values of x and y for which the numbers 3-i x2 y and x2-y-4 i are conjugate complex can beA- 1-2 or -2-1B- 1-2 or -1-2C- None of theseD- -2-1 or 2-1

The correct option is D ( 2, 1) or (2, 1) According to condition, 3 ix^2 y = x^2 + y + 4i ⇒ x^2 + y = 3 And x^2y = 4 ⇒ x = ±2, y = 1 ⇒ (x,y) = (2, 1) or ( ...

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Standard XII

Mathematics

Conjugate of a Complex Number

The values of...

Question

The values of x and y for which the numbers 3+i $x^{2}$ y and $x^{2}$ +y+4i are conjugate complex can be

(-2,-1) or (2,-1)

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(1,-2) or (-2,1)

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(1,2) or (-1,-2)

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None of these

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Solution

The correct option is A
(-2,-1) or (2,-1)

According to condition, 3-i $x^{2}$ y = $x^{2}$ + y + 4i

⇒ $x^{2}$ + y = 3 And $x^{2}$ y = -4 ⇒ x = ±2, y = -1

⇒ (x,y) = (2,-1) or (-2,-1)

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The values of x and y for which the numbers 3+ix2y and x2 +y+4i are conjugate complex can be

The correct option is A (-2,-1) or (2,-1) According to condition, 3-ix2 y = x2 + y + 4i ⇒ x2 + y = 3 And x2y = -4 ⇒ x = ±2, y = -1 ⇒ (x,y) = (2,-1) or (-2,-1)

The values of x and y for which the numbers 3+i $x^{2}$ y and $x^{2}$ +y+4i are conjugate complex can be

The correct option is A
(-2,-1) or (2,-1)

According to condition, 3-i $x^{2}$ y = $x^{2}$ + y + 4i

⇒ $x^{2}$ + y = 3 And $x^{2}$ y = -4 ⇒ x = ±2, y = -1

⇒ (x,y) = (2,-1) or (-2,-1)