Show that for all real p the line `2px+y sqrt(1-p^(2))=1` touches a fixed ellipse . Find the ecentricity of this ellipse.

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.

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.

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.

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

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

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 locus of the point of intersection of perpendicular tangent is