In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is \alpha and the number of persons who speak only Hindi is \beta, then the eccentricity of the ellipse 25 (\beta^2 x^2+\alpha^2 y^2) =\alpha^2 \beta^2 is : [6-Apr-2023 shift 2]

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 12 of 90

Marks: +1, -0

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is α and the number of persons who speak only Hindi is β, then the eccentricity of the ellipse 25(β2x2+α2y2)=α2β2 is :

[6-Apr-2023 shift 2]

‌
√129
12
‌
√117
12
‌
√119
12
‌
3√15
12

Validate

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