If `x^4+1+4 cos(ax^2+b)=2(x^2-2)` and `a,b in (0,2),` then `(a + b)` equals (where [.] represents the greatest integer function) (A) 0 (B) 1 (C) 2 (D) 3

The value of int_(0)^(2)[x+[x+[x]]]dx is (wherel.] represent greatest integer function.3 (b) 2 (c) 0( d) 1

int_0^oo[3/(x^2+1)]dx, where [.] denotes the greatest integer function, is equal to (A) sqrt2 (B) sqrt2+1 (C) 3/sqrt2 (D) infinite

If the angle between the straight lines represented by 2x^(2)+5xy+3y^(2)+7y+4=0 is tan^(-1)m , then [(1)/(pi m)] is (where [.] denote greatest integer function) (a) 0 (b) 1 (c) 2 (d) 3

The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (where [.] represents the greatest integer function). -1 (b) 1 (c) 0 (d) none of these

The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (where [.] represents the greatest integer function). -1 (b) 1 (c) 0 (d) none of these

The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (where [.] represents the greatest integer function). -1 (b) 1 (c) 0 (d) none of these

The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . Then the set of all values of p is (where [.] represents the greatest integer function) (a) [-2,3) (b) (-2,3) (c) [-2,0)uu(0,3) (d) [0,3)

The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . Then the set of all values of p is (where [.] represents the greatest integer function) (a) [-2,3) (b) (-2,3) (c) [-2,0)uu(0,3) (d) [0,3)

The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . Then the set of all values of p is (where [.] represents the greatest integer function) (a) [-2,3) (b) (-2,3) (c) [-2,0)uu(0,3) (d) [0,3)

If alphaa n dbeta are roots of the quadratic equation a x^2+b x+c=0 and a+b+c >0,a-b+c >0&c<0,t h e n[alpha]+[beta] is equal to (where [dot] denotes the greatest integer function) (a) 10 (b) -3 (c) -1 (d) 0