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The point (–2, 0) on reflection in a line is mapped to (2, 0) and the point (5, –6) on reflection in the same line is mapped to (–5, –6). State the name of the mirror line and write its equation. - Mathematics

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Question

The point (–2, 0) on reflection in a line is mapped to (2, 0) and the point (5, –6) on reflection in the same line is mapped to (–5, –6).

  1. State the name of the mirror line and write its equation.
  2. State the co-ordinates of the image of (–8, –5) in the mirror line.
Sum
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Solution

i. We know reflection of a point (x, y) in y-axis is (–x, y).

Hence, the point (–2, 0) when reflected in y-axis is mapped to (2, 0).

Thus, the mirror line is the y-axis and its equation is x = 0.

ii. Co-ordinates of the image of (–8, –5) in the mirror line (i.e., y-axis) are (8, –5).

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