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point B is symmetric to a point A(4,-1) with respect to line y=x then disance of AB is 5√2. Explain???

point B is symmetric to a point A(4,-1) with respect to line y=x then disance of AB is 5√2. Explain???

Grade:11

1 Answers

venkateshwarrao
17 Points
7 years ago
Hi,given pt A(4,-1)=(x`,y`) and slope of given line is m=I implies angle=45°Let B be the symmetry of A,then B=(x`+rcos45°,y`+rsin45°)or(x`-rcos45°,y`-rsin45°)=[4+5√2*1/√2;-1+5√2*1/√2]=(9,4)or(-1,-6)

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