document.write( "Question 674682: x^2 + y^2 - 4x + 2y = 15\r
\n" ); document.write( "\n" ); document.write( "i) Find the coordinates of the centre C of the cirlce and the radius of the circle
\n" ); document.write( "ii)Show that the point P (4, -5 ) lies in the circle
\n" ); document.write( "iii) Find the equation of the tangent to the circle at the point P
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Algebra.Com's Answer #419374 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "x^2 + y^2 - 4x + 2y = 15
\n" ); document.write( "x^2 - 4x + 4 + y^2 + 2y + 1 = 15 + 4 + 1
\n" ); document.write( "\"%28x-2%29%5E2+%2B+%28y%2B1%29%5E2+=+20\" C(2,-1) r = sqrt(20) = 2sqrt(5)
\n" ); document.write( " C(2,-1)
\n" ); document.write( " (4,-5) m = 4/-2 = -2
\n" ); document.write( "tangent Line m = 1/2
\n" ); document.write( " y = (1/2)x + b ||Using the (x,y) ordered pair (4,-5) to solve for b
\n" ); document.write( "-5 =(1/2)4 + b
\n" ); document.write( "-7 = b
\n" ); document.write( " y = (1/2)x -7
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