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A Point P(4, – 1) is Reflected to P’ in the Line Y = 2 Followed by the Reflection to P” in the Line X = -1. Find : (I) the Co-ordinates of P’. (Ii) the Co-ordinates of P”. (Iii) the Length of Pp’. - Mathematics

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Question

A point P(4, – 1) is reflected to P’ in the line y = 2 followed by the reflection to P” in the line x = -1. Find :
(i) The co-ordinates of P’.
(ii) The co-ordinates of P”.
(iii) The length of PP’.
(iv) The length of P’P”.

Graph

Solution


(i) P' → (4, 5).
(ii) P'' → (-6, -5).
(iii) PP' = 6 units.
(iv) P'P'' = 10 units.

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Reflection of a Point in a Line
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Chapter 7: Reflection - Exercise 3

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ICSE Mathematics [English] Class 10
Chapter 7 Reflection
Exercise 3 | Q 8

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