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Hyperbola question

2024 · 31 Jan · Shift 1 · Q57
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  5. /2024 · 31 Jan · Shift 1 · Q57

Hyperbola question

2024 · 31 Jan · Shift 1 · Q57

JEE MainMathematicsHyperbolaNumerical+4 / −1
Let the foci and length of the latus rectum of an ellipse x2a2+y2b2=1,a>bbe(±5,0)\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b b e( \pm 5,0)a2x2​+b2y2​=1,a>bbe(±5,0) and 50\sqrt{50}50​, respectively. Then, the square of the eccentricity of the hyperbola x2b2−y2a2b2=1\frac{x^2}{b^2}-\frac{y^2}{a^2 b^2}=1b2x2​−a2b2y2​=1 equals
Numerical answer
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