1.

Let all chords of parabola y^(2)=x+1 which subtends right angle at (1,sqrt(2)) passes through (a,b) then the value of a+b^(2) is

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Solution :SHIFTING origin at `(1,SQRT(2))`
`(Y+2sqrt(2))^(2)=X+1+1,y=Y+sqrt(2),x=X+1`
`Y^(2)+(2sqrt(2)Y-X)((Y-mX)/C)=0`
`1+(2sqrt(2))/C+m/C=0`
`C+m+2sqrt(2)=0`
`Y=mx-=m-2sqrt(2)`
`y-sqrt(2)=m(x-1)-m-2sqrt(2)`
it is PASSES through `(a,B)AAm`
`impliesa=2` and `b=-sqrt(2)`


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