Let the circles C₁: |z|=r and C₂: |z-3-4i|=5, z, be such that C₂ lies within C₁. If z₁ moves on C₁, z₂ moves on C₂ and min |z₁-z₂|=2, then max |z₁-z₂| is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q2

JEE Main 20262 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let the circles

C_1: |z|=r

and

C_2: |z-3-4i|=5

z\in\mathbb{C}

, be such that

C_2

lies within

C_1

. If

z_1

moves on

C_1

z_2

moves on

C_2

and

\min|z_1-z_2|=2

, then

\max|z_1-z_2|

is equal to :

JEE Main 2026 · 2 Apr, Evening shift · Q2

JEE Main 20262 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let the circles

C_1: |z|=r

and

C_2: |z-3-4i|=5

z\in\mathbb{C}

, be such that

C_2

lies within

C_1

. If

z_1

moves on

C_1

z_2

moves on

C_2

and

\min|z_1-z_2|=2

, then

\max|z_1-z_2|

is equal to :