Locus of a Point: Find Equation for Equidistant Point P from (3,-1)

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To find the equation of the locus of a point P equidistant from the y-axis and the point (3,-1), the distance from P to (3,-1) must equal the distance from P to the y-axis. The distance from point (a,b) to the y-axis is |a|, while the distance to (3,-1) is expressed as √((a-3)² + (b+1)²). The equation simplifies to |a| = √((a-3)² + (b+1)²). The final equation for the locus can be derived from this relationship, leading to a quadratic form.
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1. Find the equation of the locus of a point P which is equidistant from the y-axis and the point (3,-1)


2. I think that I need to use

SqRoot (x-x)sq + (y-y)sq = x
SqRoot (x-3)sq + (y+1)sq = x

Expanding is where I get stuck



Cheers
 
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If (a,b) is the point, you need work with

Distance from (a,b) to (3,-1) = distance from (a,b) to the y- axis. Part of this equation is

<br /> \sqrt{(a-0)^2 + (b-b)^2} = \sqrt{a^2} = |a|<br />

What is the other part? remember your solution will be an equation, not a single number.
 
Hi there
There is no other part to this question. I think the equation should be y=x Sq + 3

Cheers (very confused).
 
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