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" (iv) "(x)/(a)+(y)/(b)=2;ax-by=(a^(2)-b...

" (iv) "(x)/(a)+(y)/(b)=2;ax-by=(a^(2)-b^(2))

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The locus of the midpoints of the chords of the circle x^(2)+y^(2)-ax-by=0 which subtend a right angle at ((a)/(2),(b)/(2)) is ax+by=0ax+by=a^(2)=b^(2)x^(2)+y^(2)-ax-by+(a^(2)+b^(2))/(8)=0x^(2)+y^(2)-ax-by-(a^(2)+b^(2))/(8)=0