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A movable parabola touches x-axis and y-...

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

Text Solution

Verified by Experts

D:y=mx
F:(n,k)
`sqrt((x-n)^2+(y-k)^2)=|(y-mx)/sqrt(1+m^2)|`
`(x-n)^2+(y-k)^2=|(y-mx)^2/(1+m^2)|`
when`x=0 and y=1-(1)`
`h^2+(k-1)^2=1/(1+m^2)`
when`x=1 and y=0`
`(h-1)^2+K^2=m^2/(1+m^2)-(2)`
...
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