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Q.

If the point P (4, 1) undergoes a reflection in the line x-y=0, then a translation through a distance of 2 units along the positive X-axis and finally projected on the X-axis, then the coordinates of P in the final position, is

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a

(1, 0)

b

(3, 4) 

c

(3, 0) 

d

(4, 3) 

answer is B.

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Detailed Solution

Given P = (4, 1). Reflection of ‘P’ in the line xy=0 is Q=(1,4)  
The translation through a distance 2 units along positive x-axis. Let Q becomes R (3, 4). Finally projection of ‘R’ on x-axis is S = (3, 0)  

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