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Question

Point Q is symmetric to P(4,1) with respect to the bisector of the first quadrant. The length of PQ is

A
32
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B
52
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C
72
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D
92
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Solution

The correct option is D 52
Equation of the bisector of the first quadrant y=x
The coordinates of point Q which is symmetric to P(4,1) is (1,4)
PQ=(4+1)2+(14)2=25+25=52

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