Math miscellaneousHard
Question
For the equation 
= 1, , identify the correct option(s) -
= 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
= nπ, n ∈ I⇒ log2
= n ⇒ x = 2-xfor x ∈ (0, 2π) : x =
sum of integral roots = 1 + 2 + 4 = 7
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
If , then k is equal to :...is...The number of values of k for which the linear equations 4x + ky + 2z = 0 ; kx + 4y + z = 0 ; 2x + 2y + z = 0 possess a ...For r = 0, 1, ....., 10, let Ar, Br and Cr denote, respectively, the coefficient of xr in the expansions of (1 + x)10, (...For each t ∈R, let [t] be the greatest integer less than or equal to t. Then limx→0+x1x+2x+.....+15x...