If z is a complex number such that \frac{z-1}{z-i} is purely imaginary and locus of z represents a circle with centre ( \alpha, \beta ) and radius r; then \frac{\alpha}{\beta}+\frac{\beta}{\alpha}= [AP EAPCET 23 May 2025 S2]

AP EAPCET 23 May 2025 Shift 2 Paper

Section: Mathematics

Question : 7 of 160

Marks: +1, -0

If z is a complex number such that ‌

z−1

z−i

is purely imaginary and locus of z represents a circle with centre ( α,β ) and radius r; then ‌

+‌

[AP EAPCET 23 May 2025 S2]

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