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Hyperbola question

2023 · 6 Apr · Shift 2 · Q38

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JEE Main
Mathematics
Hyperbola
2023 · 6 Apr · Shift 2 · Q38

Hyperbola question

2023 · 6 Apr · Shift 2 · Q38

JEE MainMathematicsHyperbolaNumerical+4 / −1

Let the eccentricity of an ellipse

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

is reciprocal to that of the hyperbola

2 x^{2}-2 y^{2}=1

. If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum of the ellipse is

\underline{\hspace{2cm}}

.

Numerical answer

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