Consider 3 non-collinear points A(9,3), B(7,−1), and C(1,−1). Let P(a, b) be the centre and R is the radius of circle ‘S’ passing through points A,B,C. Also H(x¯,y¯) are the coordinates of the orthocentre of triangle ABC whose area be denoted by ∆. If D,E and F are the middle points BC, CA and AB respectively then the area of the triangle DEF is The value of a+b+R equalsThe order pair (x¯,y¯) is