Q116
Let \[ P = [ array*20c 3&1 \\ 1&3 array ].\] Consider the set S of all vectors \[ ( array*20c x \\ y array )\] such that a2 + b2 = 1 where \[ ( array*20c a \\ b array ) = P ( array*20c x \\ y array ).\] Then S is
Let {\text{P}} = \left[ {\begin{array}{*{20}{c}}
3&1 \\
1&3
\end{array}} \right]. Consider the set S of all vectors \left( {\begin{array}{*{20}{c}}
{\text{x}} \\
{\text{y}}
\end{array}} \right) such that a2 + b2 = 1 where \left( {\begin{array}{*{20}{c}}
{\text{a}} \\
{\text{b}}
\end{array}} \right) = {\text{P}}\left( {\begin{array}{*{20}{c}}
{\text{x}} \\
{\text{y}}
\end{array}} \right). Then S is
A.
a circle of radius
B.
a circle of radius
C.
an ellipse with major axis along \left( {\begin{array}{*{20}{c}}
1 \\
1
\end{array}} \right)
D.
an ellipse with minor axis along \left( {\begin{array}{*{20}{c}}
1 \\
1
\end{array}} \right)
AnswerAnswer: Option D
Solution
Answer: Option D
No explanation is given for this question Let's Discuss on Board