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Give one pair of values of x and y such that (x, y) is equidistant from the points (-1, 8) and (3, 4). Justify your steps.

Asked by jaydhond.97 | 22 Jan, 2020, 07:59: PM

Expert Answer

Let A(a,b) be the point which is equidistant from the points B(-1, 8) and C(3, 4)

rightwards double arrow AB equals AC rightwards double arrow open parentheses straight a plus 1 close parentheses squared plus open parentheses straight b minus 8 close parentheses squared equals open parentheses straight a minus 3 close parentheses squared plus open parentheses straight b minus 4 close parentheses squared rightwards double arrow straight a squared plus 2 straight a plus 1 plus straight b squared minus 16 straight b plus 64 equals straight a squared minus 6 straight a plus 9 plus straight b squared minus 8 straight b plus 16 rightwards double arrow 8 straight a equals 8 straight b minus 40 rightwards double arrow straight a equals straight b minus 5 When space straight a equals 0 rightwards double arrow straight b equals 5 So comma space one space of space the space pair space of space values space of space straight a space and space straight b space such space thay space left parenthesis straight a comma space straight b right parenthesis space is space equidistant space from space straight B space and space straight C thin space is space left parenthesis 0 comma space 5 right parenthesis.

Answered by Renu Varma | 23 Jan, 2020, 11:18: AM

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