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Solution :

`16x^(2)+y^(2)=16` <br> `rArr" "(x^(2))/(1)+(y^(2))/(16)=1` <br> Comparing with `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` <br> Here, `a^(2)=1,b^(2)=16" "rArr" "a=1,b=4` <br> `:.altb`. <br> The major axis of ellipse will be along y-axis. <br> Vertices `-=(0,pmb)-=(0,pm4)` <br> Major axis =2b=8, <br> Minor axis =2a=2 <br> Eccentricity `e=sqrt(1-(a^(2))/(b^(2)))=sqrt(1-(1)/(16))=(sqrt(15))/(4)` <br> Coordinates of foci `-=(0,pmbe)-=(0,pmsqrt(15))` <br> Length of latus rectum `=(2a^(2))/(b)=(2xx1)/(4)=(1)/(2)`