JEE Advanced 2026 Paper 1 Mathematics Q14

Mathematics

Problem

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I: (P) The number of elements in {x ∈ [−π, π] : sin⁶x + cos⁴x = 1}; (Q) The number of elements in {x ∈ [−π/2, π/2] : sin²x + cos⁶x = 1}; (R) The number of elements in {x ∈ [−π, π] : cos²(x/2) − sin²x = 1/2}; (S) The number of elements in {x ∈ [−2π, 2π] : 6 sin²(x/2) − cos 3x = 3}. List-II: (1) is 1; (2) is 2; (3) is 3; (4) is 4; (5) is 5.

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