If e_1 and e_2 are respectively the eccentricities of the hyperbola \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 and its conjugate hyperbola, then the line \frac{x}{2 e_1}+\frac{y}{2 e_2}=1 touches the circle having centre at the origin, then its raduus is [AP EAPCET 22 May 2024 Shift 1]

Hyperbola

Section: Mathematics

Question : 20 of 34

Marks: +1, -0

If e1 and e2 are respectively the eccentricities of the hyperbola ‌

−‌

=1 and its conjugate hyperbola, then the line ‌

2e1

+‌

2e2

=1 touches the circle having centre at the origin, then its raduus is

[AP EAPCET 22 May 2024 Shift 1]

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