PAPER-1INTEGER

1 . ;then find x+y____2. ,the smallest value of x satisfying given equation is µ then find the value of 3| µ|_________Multicorrect1.the expression simplifies to(A) if 1<x<2 (B) if 1<x<2(C) if x>2 (D) if x>22.if the roots of the equation (a,b∈R) are both lying between -2 and 2 then;(A)|a|<2−b/2 (B) |a|>2−b/2(C) |a|<4 (D) |a|<(b/2)−23. The equation has(A) 3 real solutions (B) Two integral solutions(C) One non- integral rational solution (D) one irrational solutionPaper-2Integer

1. Compute the area of the region defined by the expression .2. The number of solution of the equation isMulticorrect1. Given . Then which of the following statements are true

(A) (B) (C)

(D) if D,d are not necessarily positive then roots of may not be equal

2. Let . If the maximum and the minimum values of f (x) are 3 and 2 respectively for , then the possible ordered pair(s) of (a, b) is/are :(A) (B) (C) (D)

3. if all values of x which satisfies the inequality also satisfy the inequality for all real values o f k, then all possible values of p lies in interval(A) [-1,1] (B)[0,1] (C)[0,2] (D)[-2,0]Psg

Let Where are integers and 1.number of integral value of N if =4 and =2(A)46 (B)45 (C)44 (D)472.largest integral value of N if (A)342 (B)343 (C)243 (D)242