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The ellipse E(1) : x^(2)/9 + y^(2)/4 =1...

The ellipse ` E_(1) : x^(2)/9 + y^(2)/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 ellispe is

A

`(sqrt(2))/(2)`

B

`(sqrt(3))/(2)`

C

`(1)/(2)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -SOLUTION TO EXERCISE 5.6
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  5. The area of quardrilateral formed with foci of the hyperbolas x^(2)/a...

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  6. If the normals of the paralbola y^2=4x drawn at the end points of its...

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  7. If x + y = k is a normal to the parabola y^(2) = 12x then the va...

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  8. The ellipse E(1) : x^(2)/9 + y^(2)/4 =1 is inscribed in a rectangle ...

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  9. Tangents are drawn to the hyperbola x^(2)/9 - y^(2)/4 parallel to th...

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  10. The equation of the circle passing through the foci ellispe x^(2)/16 ...

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  12. Consider an ellispe whose centre is of the origin and its major axis...

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  13. Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) ...

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  14. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

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  15. The eccentricity of the ellispse (x -3)^(2) + ( y-4)^(2) = y^(2)/9 is

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  16. If the two tangents drawn from a point P to the parabola y^(2) = 4x ...

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  17. The circle passing through (1,-2) and touching the axis of x at (3,0...

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  18. The locus of a point whose distance from (-2,0) " is " 2/3 times it...

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