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[" (iv) Show that for all real values of...

[" (iv) Show that for all real values of "'t'" the line "2tx+y sqrt(1-t^(2))=1" touches a fixed ellipse.Find the "],[" eccentricity of the ellipse."]

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Show that for all real values of 't' the line 2tx+y sqrt(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

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