हिंदी

Use a graph sheet for this question, take 2 cm = 1 unit along both x and y-axis: (a) Plot the points A (3,2) and B (5,0). Reflect point A on the y-axis to A΄. Write co-ordinates of A΄. - Mathematics

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प्रश्न

Use a graph sheet for this question, take 2 cm = 1 unit along both x and y-axis:

  1. Plot the points A (3, 2) and B (5, 0). Reflect point A on the y-axis to A΄. Write co-ordinates of A΄.
  2. Reflect point B on the line AA΄ to B΄. Write the co-ordinates of B΄.
  3. Name the closed figure A’B’AB.
योग

उत्तर

(a) A' (- 3, 2)

(b) Since we know that,

The reflection of point (a, b) with respect to line y = k is a point (a, 2k- b)

Here, k = 2, a = 5, b = 0

∴ B' = (5, 2 × 2 - 0)

∴ B' = (5, 4)

(c) A'B'AB is an arrowhead

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Simple Applications of All Co-ordinate Geometry.
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2021-2022 (April) Set 1

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Use a graph sheet for this question. 
Take 1 cm = 1 unit along both x and y axis.
(i) Plot the following points:
      A(0,5), B(3,0), C(1,0)  and  D(1,–5)
(ii) Reflect the points B, C and D on the y axis and name them as  B',C'andD' respectively.
(iii) Write down the coordinates of B',C 'and D'
(iv) Join the point A, B, C, D, D ', C ', B', A in order and give a name to the closed figure ABCDD'C'B


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A line is of length 10 units and one end is at the point (2, – 3). If the abscissa of the other end be 10, prove that its ordinate must be 3 or – 9.


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