Q5 / 108 · NTA Abhyas (JEE Main) 2020 · Mathematics · Complex Number

If x4+2xi-3x2+yi=3-5i+1+2yi, then the number of ordered pairs x,y is/are equal to ∀x,y∈R and i2=-1

  • A
    0
  • B
    1
  • Correct answer
    C
    2
  • D
    3

Solution

x4-3x2-3-1=0 & 2x-y+5-2y=0
x2-4x2+1=0 & 2x-3y+5=0
⇒x=2 or -2 & 2x-3y+5=0
When x=2,y=3 and when x=-2,y=13
⇒x,y=2,3 & -2,13
⇒ Number of ordered pair of x,y is equal to 2

Hence, the correct answer is option: 'C'.

More Complex Number Questions