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Question

Mathematics Question on Ellipse

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 a and the number of persons who speak only Hindi is b, then the eccentricity of the ellipse 25(β2 x2 + α2 y2) = α2 β2 is

A

11712\frac{117}{12}

B

11912\frac{119}{12}

C

12912\frac{129}{12}

D

315123\frac{15}{12}

Answer

11912\frac{119}{12}

Explanation

Solution

The correct option is(B): 11912\frac{119}{12}