If 2 an ^2 θ-5 \ sec θ=1 has exactly 7 solutions in the interval [0, \;{n π}/{2}] , for the least value of n ∈ N then ∑↙{{ {\k}=1}}↖{{ {
}}} \;{ {\k}}/{2^{ {\k}}} is equal to : [27-Jan-2024 Shift 2]

Question

If 2 	an ^2 θ-5 \ sec θ=1 has exactly 7 solutions in the interval  [0, \;{n π}/{2}] , for the least value of n ∈ N then ∑↙{{ {\k}=1}}↖{{ {
}}} \;{ {\k}}/{2^{ {\k}}} is equal to :  [27-Jan-2024 Shift 2]

Examsnet · Accepted Answer

Correct Answer is :  ‌1213(214−15)

JEE Main Math Class 11 Trigonometric Functions Questions