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प्रश्न
The point (–5, 0) on reflection in a line is mapped as (5, 0) and the point (–2, –6) on reflection in the same line is mapped as (2, –6).
- Name the line of reflection.
- Write down the co-ordinates of the image of (5, –8) in the line obtained in (a).
उत्तर
a. We know that reflection in the line x = 0 is the reflection in the y-axis.
It is given that:
Point (–5, 0) on reflection in a line is mapped as (5, 0).
Point (–2, –6) on reflection in the same line is mapped as (2, –6).
Hence, the line of reflection is x = 0.
b. It is known that My (x, y) = (–x, y) Co-ordinates of the image of (5, –8) in the line x = 0 are (–5, –8).
APPEARS IN
संबंधित प्रश्न
State the co-ordinates of the following point under reflection in origin:
(–2, –4)
State the co-ordinates of the following point under reflection in the line y = 0:
(–3, 0)
A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of P.
The point A(4, 6) is first reflected in the origin to point A’. Point A’ is then reflected in the y-axis to the point A”.
- Write down the co-ordinates of A”.
- Write down a single transformation that maps A onto A”.
Find the image of point (4, -6) under the following operations:
(i) Mx . My (ii) My . Mx
(iii) MO . Mx (iv) Mx . MO
(v) MO . My (vi) My . MO
Write down a single transformation equivalent to each operation given above. State whether:
(a) MO . Mx = Mx . MO
(b) My . MO = MO . My
State the co-ordinates of the images of the following point under reflection in the origin:
(-1,-4)
State the co-ordinates of the images of the following point under reflection in the origin:
(0, 2)
Find the co-ordinates of the images of the following under reflection in the origin:
(3, -7)
Point A (2, -4) is reflected in origin as A’. Point B (- 3, 2) is reflected on X-axis as B’.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B’.
(iii) Calculate the distance A’B’.
Give your answer correct to 1 decimal place, (do not consult tables).
Use a graph paper for this question (take 10 small divisions = 1 unit on both axis).
Plot the points P (3, 2) and Q (-3, -2), from P and Q draw perpendicular PM and QN on the X- axis.
(i) Name the image of P on reflection at the origin.
(ii) Assign, the. special name to the geometrical figure. PMQN and find its area.
(iii) Write the co-ordinates of the point to which M is mapped on reflection in (i) X- axis,
(ii) Y-axis, (iii) origin.
