1997 HSC Halp! (1 Viewer)

Mudkip94

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Let A and B be the points (0,1) and (2,3) respectively.

(iv) The point P lies on the line y = 2x - 9 and is equidistant from A and B. Find the coordinates of P.

Thanks!
 

Mudkip94

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Wait... I got P(4, -1)...

-

-1 = 2 * 4 - 9
Therefore P(4, -1) lies on y = 2x - 9

-

(AP)^2 = (4-0)^2 + (-1-1)^2
(AP)^2 = 20

-

(BP)^2 = (4-2)^2 + (-1-3)^2
(BP)^2 = 20

-

AP = BP
Therefore P(4, -1) lies on the line y = 2x - 9 and is equidistant from A and B.

amirite?
 

jet

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You're right. He accidentally made a mistake; should be (q - 1)2 on LHS, not (q - 3)2.
 

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