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Image of a Point W.R.T the Line Y=A

The point 2,3...

Question

The point (2,3) is first reflected in the straight line y=x and then translated through a distance of 2 units along the positive direction X-axis.The coordinates of the transformed point are

A

(5,4)

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B

(2,3)

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C

(5,2)

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D

(4,5)

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Solution

The correct option is B (5,2)
Reflection of $(2, 3)$ in $y = x i s (3, 2)$
Required point $(3 + 2, 2) = (5, 2)$
$(5, 2)$

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(2, 3)

is first reflected in the straight line

y = x

and then translated through a distance of 2 units along the positive direction

x - a x i s

. The coordinates of the transformed point are

(4, 1)

undergoes the following three transformations successively:
(I) Reflection about the line

y = x

(II) Translation through a distance

2

units along the positive direction of

x

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(III) Rotation of coordinate axes through an angle

\frac{π}{4}

about the origin in the clockwise direction.
The final position of the point is given by the coordinates

Q. The point (4,1) undergoes the following three transformations successively-
(i) Reflection about the line

y = x

(ii) Translation through a distance 2 units along the positive directions of x-axis.
(iii) Rotation through an angle

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The final position of the point is given by the coordinates:

Q. The point (4, 1) undergoes the following two successive transformations:
(i) Reflection about the line y = x
(ii) Translation through a distance of 2 units along the positive x-axis. Then the coordinates of the point are
(a) (4, 3)
(b) (3, 4)
(c) (1, 4)
(d) (7/2, 7/2)

Q. If the point

P (4, 2)

undergoes the following transformations successively.

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