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Ellipse question

2012 · Shift 1 · Q27

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2012 · Shift 1 · Q27

Ellipse question

2012 · Shift 1 · Q27

JEE AdvancedMathematicsEllipseMCQ+3 / −0.75

The ellipse

{E_1}:{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1

is inscribed in a rectangle

R

whose sides are parallel to the coordinate axes. Another ellipse

{E_2}

passing through the point

(0, 4)

circumscribes the rectangle

R

. The eccentricity of the ellipse

{E_2}

is

A
${{\sqrt 2 } \over 2}$
B
${{\sqrt 3 } \over 2}$
C
${{1 \over 2}}$
D
${{3 \over 4}}$

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