A) \[\left( \frac{1}{\sqrt{2}},\sqrt{2} \right)\]
B) \[(\sqrt{2},\sqrt{2})\]
C) \[(\sqrt{2},2\sqrt{2})\]
D) \[(-\sqrt{2},2)\]
E) None of these
Correct Answer: E
Solution :
Let\[p\]be image of the origin in the line \[x+y=1\]. Since,\[OA=OB,\]therefore Q is the midpoint of AB. \[\therefore \]coordinates of Q are\[\left( \frac{1}{2},\frac{1}{2} \right)\]. Let the coordinates of P be\[({{x}_{1}},{{y}_{1}})\]. Since, Q is the midpoint of OP. \[\therefore \] \[\frac{0+{{x}_{1}}}{2}=\frac{1}{2}\]and \[\frac{0+{{y}_{1}}}{2}=\frac{1}{2}\] \[\Rightarrow \] \[{{x}_{1}}=1,{{y}_{1}}=1\] \[\therefore \]The coordinates of \[P\]are (1, 1).You need to login to perform this action.
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