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The point (4,1) undergoes the following ...

The point `(4,1)` undergoes the following two successive transformations
(i) Reflection about the line `y=x`
(ii) Translation through a distance 2 units along the positive X-axis.
Then the final coordinate of the point are

A

(4, 3)

B

(3, 4)

C

(1, 4)

D

`(7//2, 2//7)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The point (4, 1) undergoes the following transformations: (i) reflection about the line y = x (ii) translation through a distance of 2 units along the positive x-axis. Then the final co-ordinates of the point are :

    A
    (4, 3)
    B
    (3, 4)
    C
    (1, 4)
    D
    `(7//2, 7//2)`

  • A point (3,-2) undergoes the following transformations (i) reflection about the line y=x (ii) translation through a distance 3 units along -ve y -axis then the co-ordinates of final position of the point is

    A
    (-2,0)
    B
    (3,-1)
    C
    (-2,6)
    D
    (-1,3)

  • The point (4, 1) undergoes the following three transformations successively: (i) reflection about the line y = x (ii) translation through a distance of 2 units along the positive direction of x-axis (ii) rotation through an angle of (pi)/(4) about the origin in the counter-clockwise direction. The final position of the point is given by:

    A
    `((1)/(sqrt(2)), (7)/(sqrt(2)))`
    B
    `(-sqrt(2), 7sqrt(2))`
    C
    `(-(1)/(sqrt(2)), (7)/(sqrt(2)))`
    D
    `(sqrt(2), 7sqrt(2))`

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