If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), find p. Also find the length of AB.

Asked by Akash Jp | 13th Mar, 2015, 07:02: PM

Expert Answer:

A B equals A C square root of left parenthesis 0 minus 3 right parenthesis squared plus left parenthesis 2 minus p right parenthesis squared end root equals square root of left parenthesis 0 minus p right parenthesis squared plus left parenthesis 2 minus 5 right parenthesis squared end root 9 plus left parenthesis 2 minus p right parenthesis squared equals p squared plus 9 4 plus p squared minus 4 p equals p squared 4 p equals 4 therefore p equals 1 A B equals square root of left parenthesis 0 minus 3 right parenthesis squared plus left parenthesis 2 minus 1 right parenthesis squared end root equals square root of 9 plus 1 end root equals square root of 10

Answered by  | 16th Mar, 2015, 06:07: PM

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