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Question
The mirror image of point P(2, 3) taken about the origin is point P'. Find the quadrant which P' lies in
The mirror image of point P(2, 3) taken about the origin is point P'. Find the quadrant which P' lies in
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Solution
The correct option is C Quadrant 3
The point P is 2 units right of the origin and 3 units above of origin. Similarly the image of the point P i.e. P' will be 2 units left of origin and 3 units below of origin. Therefore the coordinates of point P' is (-2, -3).
As coordinates of point P' is (-2, -3), P' lies in quadrant III.
Alternatively:
The point P is in the quadrant I when taking its mirror image about the origin, the point P' will be formed in the quadrant III .
The point P is 2 units right of the origin and 3 units above of origin. Similarly the image of the point P i.e. P' will be 2 units left of origin and 3 units below of origin. Therefore the coordinates of point P' is (-2, -3).
As coordinates of point P' is (-2, -3), P' lies in quadrant III.
Alternatively:
The point P is in the quadrant I when taking its mirror image about the origin, the point P' will be formed in the quadrant III .
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