Questions
Reflection of the point with respect to the line is then
a
2215
b
2225
c
2522
d
1522
detailed solution
Correct option is B
If (h,k) is the image of the point x1,y1 with respect to the line ax+by+c=0 then h−x1a=k−y1b=−2ax1+by1+ca2+b2 Hence, if (α,β) is the image of the point (1,1) with respect to the line 4x+3y−5=0 then α−14=β−13=−241+31−542+32Simplifyα−14=β−13=−425It implies α−14=−425α−1=−1625α=925Andβ−13=−425β−1=−1225β=1325 Therefore, α+β=1325+925=2225Talk 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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