document.write( "Question 1060124: The co ordinates of the end points of a line segment PQ are P(3,7) and Q(11,-6). Find the coordinates of the point R on the y-axis such that PR=QR \n" ); document.write( "

Algebra.Com's Answer #675184 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "The co ordinates of the end points of a line segment PQ are P(3,7) and Q(11,-6). Find the coordinates of the point R on the y-axis such that PR=QR
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document.write( "The points in the y-axis are {R = (0,y)}.\r\n" );
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document.write( "The distance from R to P is   = .\r\n" );
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document.write( "The distance from R to Q is   = .\r\n" );
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document.write( "The condition  |PR| = |QR|  is\r\n" );
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document.write( " = .\r\n" );
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document.write( "Square both sides to get\r\n" );
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document.write( "9 + (y-7)^2 = 121+(y+6)^2.\r\n" );
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document.write( "9 + y^2 - 14y + 49 = 121 + y^2 + 12y + 36,\r\n" );
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document.write( "-99 = 26y.\r\n" );
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document.write( "y = .\r\n" );
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