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

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"):}

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"):}

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"):}

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"):}

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)

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)

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 three distinct real number a,b and c satisfy a^(2)(a+p)=b^(2)(b+p)=c^(2)(c+p), where p varepsilon R, then value of bc+ca+ab is :