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The image of a point \mathrm{P(1,2)} by the line mirror \mathrm{y=x} is the point \mathrm{Q} and the image of \mathrm{Q} by the line mirror \mathrm{y=0} is the point \mathrm{R(\alpha, \beta)}. Then
 

Option: 1

\mathrm{\alpha=1, \beta=2}

 


Option: 2

\alpha=0, \beta=0

 


Option: 3

\alpha=2, \beta=-1


Option: 4

none of these


Answers (1)

best_answer

The image of \mathrm{P(1,2)} by line mirror \mathrm{y=x \: \: is \: Q}

\mathrm{ \Rightarrow \: \: Q\: \: is\: \: (2,1)}[interchange x and y for image in line \mathrm{y=x} ]

The image of \mathrm{Q(2,1)} by line mirror \mathrm{y=0\: is \: R}

\mathrm{\Rightarrow R \: \: is \: \: (2,-1)}

\mathrm{\Rightarrow \alpha=2, \beta=-1.}

Hence option 3 is correct.

 

Posted by

Irshad Anwar

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