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Question

If the point A is symmetric to the point B(4,āˆ’1) with respect to the bisector of the first quadrant, then the length of AB is

A
5 units
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B
5āˆš2 units
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C
3āˆš2 units
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D
3 units
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Solution

The correct option is B 5āˆš2 units
The line y=x is known as the bisector of first quadrant.
Now image of B(4,āˆ’1) in the line y=x will be A(āˆ’1,4)


āˆ“AB=āˆš(āˆ’1āˆ’4)2+(4+1)2=5āˆš2 units

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