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Reflection of the midpoint of the line segment joining the points and with respect to the line is . The value of is
detailed solution
Correct option is D
Suppose that the midpoint of the line segment joining the points (1,2) and (3,4) is PHence, P=x1+x22,y1+y22=1+32,2+42=2,3 The image of the point Px1,y1 in the line y=x is y1,x1 Therefore, the image of the point P(2,3) in the line y=x is (a,b)=(3,2) It implies that a+b=3+2=5Talk to our academic expert!
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The images of on the line is and the image of Q on the line is R. Then the midpoint of PR is
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