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QJEEM21Ma4ad9: JEE Main 2021 Mathematics - Class 11 JEEM21Ma4ad9 Solution: If , R are such that 1 2i (here i 2 = 1) is a root of z 2 + z + …
If , R are such that 1 2i (here i2 = 1) is a root of z2 + z + = 0, then ( ) is equal to :
Multiple Choice Options
- A 7
- B 7
- C 3
- D 3
Step-by-Step Verified Solution
1 2i is the root of the equation. So other root is 1 2i
Sum of roots = 1 2i + 1 2i = 2 = -
Product of roots = (1 2i)(1 2i) = 1 - 4i2 = 5 =
- = -2 - 5 = -7
Sum of roots = 1 2i + 1 2i = 2 = -
Product of roots = (1 2i)(1 2i) = 1 - 4i2 = 5 =
- = -2 - 5 = -7