What is locus of the point ( a(cosx +sinx),b(cosx-sinx))
Soumith Chowdary , 9 Years ago
Grade 6
Analytical Geometry> What is locus of the point ( a(cosx +sinx...
1 Answers
nitish
actually in these type of questions we need to eliminate the parametic terms
in this case we need to eliminate the cosx and sinx terms.
so, i can write
X=a(cosx+sinx) => X/a=(cosx+sinx) ------->(1)
and Y/b=(cosx-sinx)--------->(2)
squaring and adding equations (1) and (2);
(X/a)^2+(Y/b)^2=2
hence it represents an ellipse.
i hope you understand.
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