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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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