If `A , B , C` are three real numbers and `p=[A+b+C]` and `q=[A]+[B]+[C]dot` (where [.] represents greatest integer function). Then maximum value of `p-q` is: 1 (b) 0 (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

The positive integers p,q and r, then possible value of r is 3(b)5(c)7(d)1

If a,b,c are positive real numbers such that a +b+c=18, find the maximum value of a^(2)b^(3)c^(4)

SECTION MULTIPLE CORRECT CHOICE TYPE Example 41 Let a, b, c , p, q be five different non-zero real numbers and x, y, z be three numbers satisfying the system of equations a a-p aq then (a) x + y + z = a + b + c-p-q abc (b) x = pq 0 in (c) y = (a-p)(h-p)(c-p) p(p-q) (a-q)(b-q)(c-q) aq-p) (d) z = b.

Match the following lists (where [x] represents the greatest integer function) and then choose the correct code. Codes : {:(,"a b c d"),((1),"s r q p"),((2),"q p s p"),((3), "s r p q"),((4),"p p q r"):}

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If P=(a,b,c) and Q=(1,2) , then the total number of relations P to Q are not functions is

If three positive real numbers a,b,c are in A.P.sich that abc=4, then the minimum value of b is a..2^(1/3) b.2^(2) c.2^(1/2) d.2^(3/23)