AB:x=2
Composition equation:
y=2x
y=k/x
Solution: x=√(2k)/2, y=√(2k), c coordinate: [√(2k)/2, √(2k)]
Cd =-1/2 (∵ slope of CD ⊥ ob)
CD:[y-√(2k)]/[x-√(2k)/2]=- 1/2,y=-x/2+5√(2k)/4
Intersection of CD and AB: x=2, y=- 1+5√(2k)/4.
The function y = intersection of k/x and AB: x=2, y=k/2.
Since (the intersection of CD and AB) and (the intersection of function y=k/x and AB) are the same point, therefore:
- 1+5√(2k)/4=k/2
Solution: k 1=8 (irrelevant), k2= 1/2.
∴k= 1/2