Math miscellaneousHard

Question

For the equation = 1, , identify the correct option(s) -

Options

A.There are finite number of solutions in x ∈ (0, 2π)
B.There are infinite number of solutions in x ∈ (0, 2π)
C.Sum of all integral solutions in x ∈ (0, 2π)is 7.
D.Sum of all integral solutions in x ∈ (0, 2π)is 4.

Solution

πlog = nπ, n ∈ I
⇒ log2 = n ⇒ x = 2-x
for x ∈ (0, 2π) : x =
sum of integral roots = 1 + 2 + 4 = 7

Create a free account to view solution

View Solution Free
Topic: Math miscellaneous·Practice all Math miscellaneous questions

More Math miscellaneous Questions

Let X and Y be two events such that P(X)=13, P(X|Y) = 12 and P(Y|X) = 25. Then...is...is...If M = and N = , then M2011 is -...If α, β ≠ 0, and f(n) = αn + βn and = K(1 - α)2 (1 - β)2 (α - β)2, then K ...