InterviewSolution
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InterviewSolution
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If the point C(-2, 3) is equidistant from the points A(3, -1) and B(x, 8), find the values of x. Also, find the distance BC. |
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Answer» Correct Answer - x=2 or x = -6, BC =`sqrt(41)` units `AC = BC rArr AC^(2) = BC^(2)` `rArr (3+2)^(2) + (-4)^(2) = (x+2)^(2) + 5^(2)` `rArr (x+2)^(2) = 16 rArr x+ 2 = 4"or" x + 2 = -4` `rArr x= 2 "or" x= -6.` Distance between `B(2, 8) "and"C(-2, 3) = sqrt(4^(2) +5^(2)) = sqrt(41)` units. Distance between `B(-6, 8) " and " C(-2, 3) = sqrt(4^(2) + (-5)^(2)) = sqrt(41)` units. |
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