Find the locus of the point of intersection of tangents at 2 points,on the ellipse 9x^{2 }+ 25y^{2} = 225, whose sum of ordinates is 3

Find the locus of the point of intersection of tangents to the ellipse 9x^{2 }+ 25y^{2} = 225 at the points the sum of whose ordinates is 3

Ms Shruti Tyagi or any other expert, kindly don't post that this doesn't belong to my grade...I am a JEE aspirant and such ques certainly come!