The point A(2,-4) is reflected about the line x = 0 . Which of the following points could be its image?

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Solution

The correct option is C
The line x = 0 is the y - axis.
If a point P (x, y) is reflected about y-axis , its image is P' (-x, y).
Thus the reflection of the point A(2, -4) about the y-axis is D (-2, -4) .

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Similar questions

(a) The point P (2, -4) is reflected about the line x = 0 to get the image Q. Find the co-ordinates of Q.

(b) The point Q is reflected about the line y = 0 to get the image R. Find the co-ordinates of R.

(d) Find the area of figure PQR.

A point P moves so that its distance from the point (a, 0) is always equal to its distance from the line x + a = 0. The

locus of the point is

2 x + y = 4

Use graph paper for the question.

The point P(2, -4) is reflected about the line = 0 to get the image Q. Point Q is reflected by the line y = 0 to get the image R.

Find area of figure PQR.

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