1) Circle: x2 + y2 -10x-6y+30=0. Let O be centre of circle and tangent at A(7,3) and B(5,1) meet at C. Let S=0 represent family of circles passing through A and B then A)Area of quadrilateral OACB is 4 B)Radical Axis for family of circles S=0 is x+y=0 C)The smallest possible circle for family S=0 is x2+y2-12x-4y+38=0 D)coordinate of point C is (7,1)

Vatsal Koradia , 14 Years ago

Grade 11