isi-entrance 2019 Q25

isi-entrance · India · UGA Standard trigonometric equations Locus or solution set characterization of a trigonometric relation
The locus of points ( $x , y$ ) in the plane satisfying $\sin ^ { 2 } ( x ) + \sin ^ { 2 } ( y ) = 1$ consists of
(A) A circle that is centered at the origin.
(B) infinitely many circles that are all centered at the origin.
(C) infinitely many lines with slope $\pm 1$.
(D) finitely many lines with slope $\pm 1$. 
The locus of points ( $x , y$ ) in the plane satisfying $\sin ^ { 2 } ( x ) + \sin ^ { 2 } ( y ) = 1$ consists of\\
(A) A circle that is centered at the origin.\\
(B) infinitely many circles that are all centered at the origin.\\
(C) infinitely many lines with slope $\pm 1$.\\
(D) finitely many lines with slope $\pm 1$.
Paper Questions
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