1.

Two perpendiculars PQ and PR are drawn on the axes of the ellipse (x ^(2))/(a^(2)) +(y^(2))/(b ^(2))=1 from any arbitrary point P on the ellipse. The find the locus of the point T that divides (internally) QR in the fixed fatio lamda _(1) :lamda_(2) (a,b) lamda_(1),lamda_(2) in R, a lamda_(1)- b lamda_(2)ne0).

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