if `r^(1/4)+1/r^(1/4)=3` then which of the following is true

Two Cu wires of radii R_(1) and R_(2) are such that (R_(1) gt R_(2)) . Then which of the following is true ?

Suppose X={1, 2, 3, 4} and R is a relation on X. If R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}, then which one of the following is correct?

Suppose X = {1,2,3,4} and R is a relation on X. If R = {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}, then which one of the following is correct?

A = {1, 2, 3, 4} and R = {(1, 1), (1,3), (2, 2), (3, 1),(3, 4),(3,3),(4, 3), (4,4) } is a relation on A xx A , then which one of the following is correct?

If A={1,2,3,4} and R={(1,1),(1,3),(2,2),(3,1),(3,4),(4,3),(4,4)} is a relation on AxxA , then which one of the following is correct?

If R_1 and R_2 are two non-empty relations in a set A. Which of the following is not true? (1) If R_1 and R_2 are transitive, then R_1uuR_2 is transitive (2) If R_1 and R_2 are transitive, then R_1nnR_2 is transitive (3) If R_1 and R_2 are symmetric, then R_1uuR_2 is symmetric (4) If R_1 and R_2 are reflexive, then R_1nnR_2 is reflexive

Find R^(-1) in each of the following cases : R={(1,2),(1,3),(2,4),(2,3),(3,2),(4,3)}

Let the relation R on set A = {1,2,3,4,5} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2),(1,5),(5,1),(5,5)} Then state which one is true in each of the following two cases

Let the relation R on set A = {1,2,3,4} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2)} Then state which one is true in each of the following two cases viz

If sum_(r=1)^(n)r^(4)=F(x), then prove that the value of sum_(n=1)^(n)r(n-r)^(3) is (1)/(4)[n^(3)(n+1)^(2)-4F(x)]