JEE Main20206 Sep 2020Morning ShiftMathematicsComplex NumberActual
The region represented by z = x + i y ∈ C : | z | - Re ( z ) ≤ 1 is also given by the inequality
Options
- Ay 2 ≥ 2 ( x + 1 )
- By 2 ≤ 2 x + 1 2
- Cy 2 ≤ x + 1 2
- Dy 2 ≥ x + 1
Correct answer
B. y 2 ≤ 2 x + 1 2
Step-by-step solution
x 2 + y 2 - x ≤ 1 ⇒    x 2 + y 2 ≤ x + 1 ⇒    x 2 + y 2 ≤ x 2 + 2 x + 1 ⇒    y 2 ≤ 2 x + 1