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A point moves in such a way that its dit...

A point moves in such a way that its ditance from the point (2,5) is equal to its distace from the line 2x + 4y = 3 . Find the equation of its path . What is the name of the curve ?

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The correct Answer is:
`(2x + 4y - 3)^(2) = 20 [(x - 2)^(2) + (y - 5)^(2)]` , parabola
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