The abscissa of a point is -6 and its distance from the point (1,3) is square root of 74. Fid the ordinate of the point.

Asked by valerianakeriggan | 12th Aug, 2019, 06:25: AM

Expert Answer:

Let P be the point with abscissa -6 i.e. P(-6, y)
Distance of P from (1, 3) is square root of 74
T h e r e f o r e comma space square root of open parentheses negative 6 minus 1 close parentheses squared plus open parentheses y minus 3 close parentheses squared end root equals square root of 74
rightwards double arrow 49 plus y squared minus 6 y plus 9 equals 74
rightwards double arrow y squared minus 6 y minus 16 equals 0
rightwards double arrow y squared minus 8 y plus 2 y minus 16 equals 0
rightwards double arrow left parenthesis y minus 8 right parenthesis left parenthesis y plus 2 right parenthesis equals 0
rightwards double arrow y equals 8 space o r space y equals negative 2

Answered by Renu Varma | 12th Aug, 2019, 10:28: AM

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