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Ajit Siddharth Grade:
        Let A= (0, 9) and B (0, 12). Points A’ and B’ are on the line y = x, line segments AA’ and BB’ intersect at C= (2, 8). What is the length of line segment A’B’?
7 years ago

Answers : (1)

Chanchal Kumar
31 Points
										

coordinates of points A' and B' are equal since they lie on line of equation y=x


Slope of AC = Slope of CA'


8-9/2-0 = p-8/p-2


so, p = 6 ----- (i)


Slope of BC  = Slope of CB'


8-12/2-0  =  r-8/r-2


so, r  = 4 -----(ii)


Now,   (A'B')2  = (p-r)2 + (p-r)2


          A'B' = 2.829 units


 


826_21871_length of line.jpg

7 years ago
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