im not able to get this problem right and idk where i went wrong w my solution

[dim wave]

this is whats given in the key

[misty pier]

why you think you needed min value of (g+1)²+g² to get min r?

idk if it is possible to do this way or not but there is a simple method to solve this if you would like to know

[dim wave]

sure

[dim wave]

that is the formula or radius of a circle from general equation of curve

[misty pier]

If two points lie on a circle, then if you make the distance between the two points the diameter, then it will give smallest possible circle passing through those points

[dim wave]

ohh i see lemme try

[misty pier]

you can actually draw and check, since the distance between the points is fixed, as you increase size of circle, the radius increases, as you decrease the size of circle, the radius decreases, assuming the circle passes through the given points in every case

[dim wave]

wait holdup

[dim wave]

does rhis work everytime?

[misty pier]

yes the smallest circle you can draw with two points is when the two points make its diameter

you can imagine, if the two points don't make its diameter then the distance between the points must be the chord of the circle because the two points lie on the circle

[dim wave]

ohh yeahh ty ty i got it

[misty pier]

and any chord of circle is smaller than its diameter, which means diameter will always be greater than the chord(distance between the points)

[dim wave]

can you explain why this doesnt work?

[misty pier]

or if the chord becomes diameter then that only gives the min(diameter)

[misty pier]

because c is also dependent on g, f

you only considered min((g+1)²+g²)

since c is NOT a constant

and dependent on g, f

you should have considered min((g+1)²+g²-c)

but that gives nothing

so for now, the only way to do it is by conceptual knowledge about min(diameter) which i said

do you get right answer now?

@dim wave

[dim wave]

ohhhh i seeee

tysm :)))

[dim wave]

yeah i got it

.close