[" Equation of circle inscribed in "|x-a|+|y-b|=1" is "],[[" (a) "(x+a)^(2)+(v+b)^(2)=," ( "]]

The ratio of any triangle PQR inscribed in an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and that of triangle formed by the corresponding points on the auxilliary circle is (b)/(a) .

The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3)^(2)=64 is

If the centre of the circle inscribed in a square formed by the lines x ^(2) - 8x + 12 =0 and y ^(2) - 14 y + 45 = 0 is (a,b), then a + b is

Determine equation of the circle whose diameter is the chord x+y=1 of the circle x^(2)+y^(2)=4

The equation of the circle on the common chord of the circles (x-a)^(2)+y^(2)=a^(2) and x^(2)+(y-b)^(2)=b^(2) as diameter, is

The equation of the circle on the common chord of the circles (x-a)^(2)+y^(2)=a^(2) and x^(2)+(y+b)^(2)=b^(2) as diameter, is

The equation of the circle inscribed in the triangle formed by the coordinate axes and the lines 12x+ 5y = 60 is :