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State the co-ordinates of the following point under reflection in the line x = 0: (–6, 4) - Mathematics

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प्रश्न

State the co-ordinates of the following point under reflection in the line x = 0:

(–6, 4)

एका वाक्यात उत्तर

उत्तर

The co-ordinate of the given point under reflection in the line x = 0 is (6, 4).

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Reflection of a Point in a Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Reflection - Exercise 12 (A) [पृष्ठ १६५]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 12 Reflection
Exercise 12 (A) | Q 6 | पृष्ठ १६५

संबंधित प्रश्‍न

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

(6, –3)


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. Co-ordinates of its image are (8, −6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.


A point P (-8, 1) is reflected in the x-axis to the point P'. The point P' is  then reflected in the origin to point P". Write down the co-ordinates of P". State the single transformation that maps P into P".


Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 4


P, Q have co-ordinates (-1, 2) and (6, 3) respectively. Reflect P on the X-axis to P’. Find:
(i) The co-ordinate of P’
(ii) Length of P’Q.
(iii) Length of PQ.
(iv) Is P’Q = PQ?


Point A (5, 1) on reflection on X- axis is mapped as A’. Also A on reflection on Y- axis is mapped as A”.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of A”.
(iii) Calculate the distance A’ A”.
(iv) On which coordinate axis does the middle point M of A” A’ lie?


(i) Point P(a, b) reflected on the X-axis to P'(5, 2). Write down the value of a and b.
(ii) P” is the image of P when reflected on the Y-axis. Write down the co-ordinates of P”.
(iii) Name a single transformation that maps P’ to P”.


Use a graph paper to answer the following questions. (Take 1 cm = 1 unit on both axis):
(i) Plot A (4, 4), B (4, – 6) and C (8, 0), the vertices of a triangle ABC.
(ii) Reflect ABC on the y-axis and name it as A’B’C’.
(iii) Write the coordinates of the images A’, B’ and C’.
(iv) Give a geometrical name for the figure AA’ C’B’ BC.
(v) Identify the line of symmetry of AA’ C’ B’ BC.


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