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`        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

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

```
7 years ago
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