6. 7. 8. If one of the diameters of the circle x + y-2x-6y+6=0 is a chord of another circle 'C', whose centre is at (2, 1), then its radius is Let Bi (i = 1, 2, 3) be three independent events in a sample space. The probability that only B occurs is , only B occurs is and B3 occurs is y. Let p be the probability that none of the events B occurs and these 4 probabilities satisfy the equations (a - 2) = a and (-3y) p = 2y (All the probabilities are assumed to lie in the integral (0, 1)). The P(B) P(B) is equal to Let three vectors ,b and c be such that is coplanar with a and b, a. c = 7 and b is perpendicular to , where =+j+k and =2+k, then the value of 2|a+b+c is [3 -1 -2] 9. Let P 2 0 where = R. Suppose Q = [qij] is a matrix satisfying PQ = kl3 for some non- 3 -5 0 k zero kR. If q23 =- and Q , then a2+k is equal to 10. If (|x|+|x2])dx=22,(a>2) and [x] denotes the greatest integer x, then (x+[x])dx is equal to