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Find the locus of a point P which moves ...

Find the locus of a point `P` which moves such that its distance from the line `y=sqrt(3)x-7` is the same as its distance from `(2sqrt(3),-1)`

Text Solution

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The point `(2sqrt(3),-1) " lies on the line y" = sqrt(3)x-7`
Therefore, locus of the point is a straight line perpendicular to the given line passing through the given point, i.e.,
`y + 1= -(1)/(sqrt(3))(x-2sqrt(3))`
or `x+sqrt(3)y =sqrt(3)`
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