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      Question

      The distance between (4, –1) and (–8, y) is 13. Find

      possible values of y.
      A y = 4 or y = –6 Correct Answer Incorrect Answer
      B y = 2 or y = 5 Correct Answer Incorrect Answer
      C y = 4 or y = –4 Correct Answer Incorrect Answer
      D y = 4 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Distance formula: (4 + 8)Β² + (–1 – y)Β² = 169 12Β² + (–1 – y)Β² = 169 144 + (y + 1)Β² = 169 (y + 1)Β² = 25 y + 1 = Β±5 y = 4 or –6 Answer: y = 4 or y = –6

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