JEE Main 2026 Mathematics question
The sum of all the integral values of p such that the equation 3sin²x+12cosx−3=p, x∈ℝ, has at least one solution, is:
Answer: (C)
Solution
Rewriting, p = −3(cosx−2)²+12, increasing in cosx∈[−1,1], ranging from p(−1)=−15 to p(1)=9. Sum of integers from −15 to 9 = −75.