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Complex Numbers question

2023 · 6 Apr · Shift 2 · Q41

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 6 Apr · Shift 2 · Q41

Complex Numbers question

2023 · 6 Apr · Shift 2 · Q41

JEE MainMathematicsComplex NumbersNumerical+4 / −1

For

\alpha, \beta, z \in \mathbb{C}

and

\lambda \gt 1

, if

\sqrt{\lambda-1}

is the radius of the circle

|z-\alpha|^{2}+|z-\beta|^{2}=2 \lambda

, then

|\alpha-\beta|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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