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Show that for all real values of 't' the...

Show that for all real values of 't' the line `2tx + ysqrt(1-t^2)=1` touches the ellipse.Find the eccentricity of the ellipse.

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For all real p, the line 2px+ysqrt(1-p^(2))=1 touches a fixed ellipse whose axex are the coordinate axes The foci of the ellipse are

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For all real p, the line 2px+ysqrt(1-p^(2))=1 touches a fixed ellipse whose axex are the coordinate axes The foci of the ellipse are

For all real p, the line 2px+ysqrt(1-p^(2))=1 touches a fixed ellipse whose axex are the coordinate axes The foci of the ellipse are