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State the co-ordinates of the following point under reflection in x-axis: (–5, 4) - Mathematics

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प्रश्न

State the co-ordinates of the following point under reflection in x-axis:

(–5, 4)

एक पंक्ति में उत्तर

उत्तर

The co-ordinate of the given point under reflection in the x-axis is (–5, –4).

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Reflection of a Point in a Line
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अध्याय 12: Reflection - Exercise 12 (A) [पृष्ठ १६५]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 12 Reflection
Exercise 12 (A) | Q 3.2 | पृष्ठ १६५

संबंधित प्रश्न

A point P is reflected in the x-axis. Co-ordinates of its image are (–4, 5). Find the co-ordinates of P.


A point P is reflected in the x-axis. Co-ordinates of its image are (–4, 5). Find the co-ordinates of the image of P under reflection in the y-axis.


A point P is reflected in the x-axis to P'. P' is then reflected in the origin to P". If the co-ordinates of P' are (-3, 4). Find the co-ordinates of P and P". Write the single transformation that map P onto P".

Find the co-ordinates of the image of S(4,-1) after reflection in the line

x = 0


The image of a point P under reflection on the X-axis is (5, – 2). Write down the co-ordinates of P.


Write down the co-ordinates of the image of (5, – 4).
Reflection in x = 0;


(i) Find the reflection of the point (3, 5) on X-axis.
(ii) Find the reflection of the point (- 3, 5) on X-axis.
(iii) Find the reflection of the point (- 3, – 5) on X-axis.
(iv) Find the reflection of the point (3, – 5) on X-axis.


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”.


Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axis). P and Q have co-ordinates (0, 5) (- 2, 4).
(i) P is invariant when reflected in an axis. Name the axis.
(ii) Find the image of Q on reflection in the axis found in (i).
(iii) (0, k) on reflection in the origin is invariant. Write the value of k.
(iv) Write the co-ordinates of the image of Q, obtained by reflecting it in the origin following by reflection in x-axis.


Use graph paper to answer this question:
(i) Plot the points A (4,6) and B (1, 2).
(ii) A’ is the image of A when reflected in X-axis,
(iii) B’ is the image of B when B is reflected in the line AA’.
(iv) Give the geometrical name for the figure ABA’B’.


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