6. The value of the integral x-2x-2 dx, where [x] denotes the greatest integer less than or equal to x, is 1 (a) -3-1 (b) -2-3+1 (c) -5 7. For the system of linear equations: (d) -4 x-2y=1, x-y+kz = -2, ky+4z = 6, kR, Consider the following statements: (A) The system has unique solution if k #2, k#-2. (B) The system has unique solution if k = -2. (C) The system has unique solution if k = 2. (D) The system has no solution if k = 2. (E) The system has infinite number of solutions if k-2. Which of the following statements are correct? (a) (B) and (E) only 8. (b) (A) and (E) only (c) (C) and (D) only Let a, b = R. If the mirror image of the point P (a, 6, 9) with respect to the line x-3y-2 z-1. == == Fis 7 5 -9 (20, b,-a-9), then a+b| is equal to: (d) (A) and (D) only (a) 90 (b) 86 (c) 84 (d) 88 1 9. When a missile is fired from a ship, the probability that it is intercepted is and the 3 probability that the missile hits the target, given that it is not intercepted, is. If three 4 missiles are fired independently from the ship, then probability that all three hit the target, is: 3 (a) 1 (b) 27 from the ship, then 3 (c) 8 ability that all three (d) 1/3