Question

# The point (4,1) undergoes the following successively

i) reflection about the line y=x

ii) translation through a distance 2 unit along the positive direction of y-axis. The final position of the point is

- (3,4)
- (4,3)
- (-1,4)
- (1,6)

Hint:

### reflect the given point and then translate the obtained point along the y-axis.

## The correct answer is: (1,6)

### Given That:

The point (4,1) undergoes the following successively

i) reflection about the line y=x

ii) translation through a distance 2 unit along the positive direction of y-axis. The final position of the point is

>>> The point (4,1) on reflection gives (1,4).

>>> translation through a distance 2 unit along the positive direction of y-axis , gives:

(1,4)+(0,2) = (1,6).

>>> Therefore, the required point is (1,6).

Therefore, the required point is (1,6).

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