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Points (3, 0) and (-1, 0) are invariant points under reflection in the line L1; points (0, -3) and (0, 1) are invariant points on reflection in line L2. (i) Name or write equations for the lines L1 and L2. (ii) Write down the images of the points P (3, 4) and Q (-5, -2) on reflection in line L1. Name the images as P’ and Q’ respectively.
Points (3, 0) and (-1, 0) are invariant points under reflection in the line L1; points (0, -3) and (0, 1) are invariant points on reflection in line L2. (i) Name or write equations for the lines L1 and L2. (ii) Write down the images of the points P (3, 4) and Q (-5, -2) on reflection in line L1. Name the images as P’ and Q’ respectively.
Class 10 | Exercise 12B | ICSE | Maths | Reflection | Selina
Points (3, 0) and (-1, 0) are invariant points under reflection in the line L1; points (0, -3) and (0, 1) are invariant points on reflection in line L2. (i) Name or write equations for the lines L1 and L2. (ii) Write down the images of the points P (3, 4) and Q (-5, -2) on reflection in line L1. Name the images as P’ and Q’ respectively.

(I) We realize that, each point in a line is invariant under the appearance in a similar line.

As the focuses \[\left( 3,\text{ }0 \right)\]and \[\left( -\text{ }1,\text{ }0 \right)\]lie on the x-hub.

In this manner, \[\left( 3,\text{ }0 \right)\]and \[\left( -\text{ }1,\text{ }0 \right)\]are invariant under appearance in x-hub.

Along these lines, the condition of line\[~{{L}_{1}}\] is \[y\text{ }=\text{ }0.\]

Additionally, \[\left( 0,\text{ }-\text{ }3 \right)\]and \[\left( 0,\text{ }1 \right)\]are likewise invariant under appearance in y-hub.

Along these lines, the condition of line \[~{{L}_{2}}~\]is \[x\text{ }=\text{ }0.\]

(ii) \[P\text{ }=\text{ }Image\text{ }of\text{ }P\text{ }\left( 3,\text{ }4 \right)\]in \[{{L}_{1}}\text{ }=\text{ }\left( 3,\text{ }-\text{ }4 \right)\]

Also, \[Q\text{ }=\text{ }Image\text{ }of\text{ }Q\text{ }\left( -5,\text{ }-2 \right)\text{ }in\text{ }{{L}_{1}}~=\text{ }\left( -5,\text{ }2 \right)\]

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