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Find the value of y for which the distance between the points A(3, -1)and B(11, y) is 10 units. |
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Answer» We have AB= 10 `rArr AB^(2) = 100` `rArr (11-3)^(2) + (y+1)^(2) = 100` `rArr 8^(2) + (y+1)^(2) = 100` `rArr (y+1)^(2) = 100-64 = 36 = 6^(2)` `rArr y+1 = +-6` `rArr y+1 = 6 "or" y+1 = -6` `rArr y = 5 "or" y = -7` Hence, the required values of y and 5 and -7 |
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