[" An ellipse passes through the point "(4,-1)" and "],[" touches the line "x+4y-10=0" .If its axes coincide "],[" with co-ordinate axes,then its equation is: "],[[" (1) "(x^(2))/(16)+(y^(2))/(15)=1," (2) "(x^(2))/(80)+(y^(2))/(5/4)=1],[" (3) "(x^(2))/(20)+(y^(2))/(5)=1," (4) "(x^(2))/(5)+(y^(2))/(16)=1]]