find the equation of an ellipse whose vertex is the point (0,7) and directrix is the line y=12

Here,vertex is (0,7) which is on the y-axis.Let equation of ellipse be x2b2+y2a2=1(a>b)Vertex=(0,a),i,e a=7equation of direcrtrix,y=12ae=12e=712Now,b2=a2(1-e2)=49(1-49144)=49×95144Equation of ellipse:x249×95144+y249=1144x249×95+y249=1144x2+95y2=4655

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