मराठी

Find the image of the point A(5, –3) under reflection in the point P(–1, 3). - Mathematics

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प्रश्न

Find the image of the point A(5, –3) under reflection in the point P(–1, 3).

बेरीज

उत्तर

Image of the point A(5, –3) under reflection in the point P(–1, 3)

Let B(x, y) be the point of reflection of A(5, –3) under P(–1, 3)


∴ Point P is mid-point of AB

∴ `-1 = (5 + x)/2`

`=>` –2 = 5 + x

`=>` x = –2 – 5 = –7 and `3 = (-3 + y)/2`

`=>` 6 = –3 + y

`=>` y = 6 + 3 = 9

∴ Co-ordinates of B are (–7, 9) which is the image of point A.

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Co-ordinates Expressed as (x,y)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Section and Mid-Point Formula - Exercise 13 (C) [पृष्ठ १८३]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 13 Section and Mid-Point Formula
Exercise 13 (C) | Q 19 | पृष्ठ १८३
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