If the points (x, 1),(1,2) and (0,y+1) are collinear, show that 1/x+1/y=1.
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Answer:Let A(x,1),B(1,2)&C(0,y+1)
Since,points are collinear.
Therefore,ar(ABC)=0
=>{x(2-y-1)+1(y+1-1)+0(1-2)}=0
=>{2x-xy-x+y+0}=0
=>x-xy+y=0
=>(x-y)^+xy=0
=>x-y=xy/x-y
x-y=1/x-1/y
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Step-by-step explanation:
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