In the xy plane, the set of points whose coordinates satisfy the equation above is??
1) A line
2) A circle
3) An ellipse
4) A parabola
5) One branch of a hyperbola
Stacey Warren - Expert brainly.com
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Notice the distance formulas on left and right hand sides, the given equation is same as :
distance between (x,y) and (-3, 2) = distance between (x, y) and (3, 0)
so you need to find the locus of points that stay at same distance from two points : (-3, 2) and (3, 0)
Thats exactly the definition of perpendicular bisector!
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Got you, thank you so much.
Damn!! They are distance formulas!! how can I not see it!!
Haha solving them is fun too, square both sides and all quadratic terms cancel out.. gives the equation of perpendicular bisector..
I did that way but stop at square both sides and look at the square of x and y, I think there must be other way to find the answer out quickly. So that I stopped and post the question. hehehe... I got it from you. Thank you so much