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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)

एका वाक्यात 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
  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 3.2 | पृष्ठ १६५

संबंधित प्रश्‍न

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

 (3, 2)


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

(6, –3)


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

(–6, 4)


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.


The point P(a, b) is first reflected in the origin and then reflected in the y-axis to P’. If P’ has co-ordinates (4, 6); evaluate a and b.


Write down the co-ordinates of the image of (5, – 4).
Reflection in y = 2.


A point P(a, b) is reflected in the X-axis to P'(2, – 3). Write down the value of a & b. P” is the image of P, when reflected on the Y-axis. Write down the co-ordinates of P” when P is reflected in the line parallel to the Y-axis, such that x = 4.


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 for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.


Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axis).
(i) Plot the points A (- 4, 2) and B (2, 4).
(ii) A’ is the image of A when reflected in the y-axis. Plot it on the graph paper and write the coordinates of A’.
(iii) B’ is the image of B when reflected in the line AA’. Write the coordinates of B’.
(iv) Write the geometric name of the figure ABA’B’.
(v) Name a line of symmetry of the figure formed.


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