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The circle on SS^' as diameter intersect...

The circle on `SS^'` as diameter intersects the ellipse in real points then its eccentricity

Text Solution

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The correct Answer is:
`1//sqrt(2)`
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Let S and S' be the two foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the circle described on SS' as diameter: to ches the ellipse in real point, then find the eccentricity of the ellipse.

If a circle intercepts the ellipse at four points, show that the sum of the eccentric angles of these points is an even multiple of pi

Knowledge Check

  • Let S and S^(1) be the foci of an ellipse . At any point P on the ellipse if SPS^(1) lt 90 ^(@) then its eccentricity :

    A
    ` e gt (1)/(sqrt2) `
    B
    ` e lt (1)/(sqrt2)`
    C
    ` e= (1)/(sqrt2)`
    D
    ` e= (1)/(2)`

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