the locus of a point P which divides the line segment joining(1,0) and (2costheta,2 sintheta) internally in the ratio 1:2 - Maths - Introduction to Three Dimensional Geometry

Question

the locus of a point P which divides the line segment joining(1,0)
and (2costheta,2 sintheta) internally in the ratio 1:2 for all
theta is a

Anuradha Sharma · Accepted Answer

Dear Student, m:n = 1:21,0 and 2cosθ, 2sinθso using internal division formula x= 2cosθ+21+2, y = 2sinθ+01+2cosθ= 3x-22, and sinθ =3y2 Squaring and addingsin2θ+cos2θ=3x-222+9y243x-224+9y24= 1 3x-22+9y2= 4Regards

the locus of a point P which divides the line segment joining(1,0) and (2costheta,2 sintheta) internally in the ratio 1:2 for all theta is a