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3. If Pl. y) is cquidistant from the points A(7.-2) and B(3, 1) expressy in terms of i.y) is equidistant from the poinpts2) and B(3, 1), express y in terms of x. |
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Answer» Let the points be P(x,y), A(7,-2) and B(3,1).AP^2 = (x-7)^2 + (y+2)^2BP^2 = (x-3)^2 + (y-1)^2Given P(x,y) is equidistant from (7,-2) and (3,1)(x-7)^2 + (y+2)^2 = (x-3)^2 + (y-1)^2x^2 - 14x + 49 + y^2 + 4y + 4 = x^2 - 6x + 9 + y^2 - 2y + 1-14x + 49 + 4y + 4 = - 6x + 9 - 2y + 1-8x + 6y = -53 + 10-8x + 6y = -438x - 6y = 43 |
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