The set of values of a for which the point (2a, a+1) is an interior point of the larger segment of the circle x2+y2-2x-2y-8=0made by the chord x-y+1=0,is

The point (2a, a + 1) will be an interior point of the larger segment of the circle x2+y2−2x−2y−8=0,if (i) the point (2a, a + 1) is an interior pointand, (ii) the point (2a, a + 1) and the centre (1, 1) are on the sameside of the chord x - y + 1 = 0.and,     (2a−a−1+1)(1−1+1)>0⇒ 5a2−4a−9<0  and a>0⇒ (5a−9)(a+1)<0 and  a>0⇒ −10⇒a∈(0,9/5)