document.write( "Question 1044109: A (9,5) and B (5,-9) are two points on a circle centered at the origin.\r
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document.write( "a) Determine an equation for the circle.\r
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document.write( "b) Determine the midpoint C of chord AB.\r
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document.write( "c) Show that the right bisector of chord AB passes through the centre of the circle. \n" );
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Algebra.Com's Answer #659391 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x^2+y^2=r^2 \n" ); document.write( "81+25=106 with point 1 and point 2.r=10.3 \n" ); document.write( "x^2+y^2=106 is the equation of the circle \n" ); document.write( "The chord\"s midpoint is the midpoint of each x and each y, or (7,-2) \n" ); document.write( "The equation of the line that makes the chord has slope (-9-5)/(5-9)=-14/-4=7/2 \n" ); document.write( "the point slope formula is y+9=(7/2)(x-5), or y=(7/2)x-53/2. \n" ); document.write( "The perpendicular bisector must have- slope -2/7, the negative reciprocal. \n" ); document.write( "It's equation is y+2=(-2/7)(x-7), or y=(-2/7)x, and this goes through (0,0) \n" ); document.write( " |