Find the equation of a circle having centre (5, -4) and radius 7
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centre of the circle with equation x2+y2+2gx+2fy+c=0 is (-g,-f) so g=-5 and f=4 .radius=√g2+f2-c .49= 25+16-c so c is -8 hence equation of the circle is x2+y2-10x+8y-8 =0 .
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