If matrix A `=[{:( a,b,c),(b,c,a),(c,a,b) :}]` where a,b,c are real positive number ,abc =1 and `A^(T) A = I ` then
Which of the following is/are true

Given a matrix A=[[a,b,cb,c,ac,a,b]], where a,b,c are real positive numbers abc=1 and A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3)

If a, b, c are positive real numbers such that a+b+c=2 then, which one of the following is true?

If a, b, c are positive real numbers such that a+b+c=p then, which of the following is true?

If a, b and c are three real numbers, then which of the following is NOT true ?

If 4ac>b^(2) and a+c>b for real numbers a,b and c,then which of the following is true?

If the matrix {:[(a+b,0,0),(0,b+c,0),(0,0,c+a)]:} , (where a,b,c are positive integers) is a scalar matrix, then the value of (a+b+c) can be

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

Let a,b,c be positive real numbers with abc=1 let A =[{:(a,b,c),(b,c,a),(c,a,b):}] if A ^(T) A =I where A^(T) is the transpose of A and I is the identity matrix , then determine the value of a^(2) +b^(2)+c^(2)