If z is a complex number such that | z | ≥ 2, then the minimum value of | z + 1/2 |:

(B) is strictly greater that 3/2 but less than 5/2

(A) is strictly greater that 5/2

Complex Numbers and Quadratic Equations: JEE Main 2014 Mathematics question

JEE Main 2014 · Session, Shift 1 · Q3250

JEE Main 2014Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If z is a complex number such that

\,\left| z \right| \ge 2\,

, then the minimum value of

\,\,\left| {z + {1 \over 2}} \right|

JEE Main 2014 · Session, Shift 1 · Q3250

JEE Main 2014Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If z is a complex number such that

\,\left| z \right| \ge 2\,

, then the minimum value of

\,\,\left| {z + {1 \over 2}} \right|