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If P(x, y) is equidistant from the points A(7, 1) and B(3, 5), find the relation between x and y. |
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Answer» Correct Answer - x-y = 2 `(7-x)^(2) + (1-y)^(2) = (3-x)^(2) + (5-y)^(2)` `rArr (49 + x^(2) -14x) + (1+y^(2)-2y) = (9+x^(2) -6x) +(25 + y^(2) - 10y)` `rArr x^(2) + y^(2) -14x -2y + 50 =x^(2) + y^(2) -6x -10y + 34` `rArr 8x-8y = 16 rArr x -y = 2` |
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