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Ellipse question

2022 · 30 Jun · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Ellipse
2022 · 30 Jun · Shift 1 · Q32

Ellipse question

2022 · 30 Jun · Shift 1 · Q32

JEE MainMathematicsEllipseMCQ+4 / −1

Let the eccentricity of the ellipse

{x^2} + {a^2}{y^2} = 25{a^2}

be b times the eccentricity of the hyperbola

{x^2} - {a^2}{y^2} = 5

, where a is the minimum distance between the curves y = ex and y = logex. Then

{a^2} + {1 \over {{b^2}}}

is equal to :

A
${3 \over 2}$
B
${5 \over 2}$
C
3
D
5

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