The number of values of z, satisfying the equations |z-(4+8i)|=√(10) and |z-(3+5i)|+|z-(5+11i)|=4√(5), is:

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 8 Apr, Evening shift · Q2

JEE Main 20268 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

The number of values of

z\in\mathbb{C}

, satisfying the equations

|z-(4+8i)|=\sqrt{10}

and

|z-(3+5i)|+|z-(5+11i)|=4\sqrt{5}

, is :

JEE Main 2026 · 8 Apr, Evening shift · Q2

JEE Main 20268 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

The number of values of

z\in\mathbb{C}

, satisfying the equations

|z-(4+8i)|=\sqrt{10}

and

|z-(3+5i)|+|z-(5+11i)|=4\sqrt{5}

, is :