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SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 2026 question with answer

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Q1 ∫ (x + sin x)/(1 + cos x) dx = English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 Q2 If ∫ (24e^x − 14e^(−x))/(9e^x − 4e^(−x)) dx = Ax + B log(9e^(2x) − 4) + c, then the value of (A + 9B) is — English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 Q3 Equation to the curve x = a(θ − sin θ), y = a(1 − cos θ) at the point θ = π/2 is — English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 Q4 The area bounded by the curves y = tan x, y = cot x and x-axis in the interval [0, π/2] is — English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 Q5 Smaller area enclosed by the circle x² + y² = 9 and the straight line x + y = 3 is — English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 Q6 a⃗ and b⃗ are two vectors such that |2a⃗ + 3b⃗| = |3a⃗ + b⃗| and the angle between a⃗ and b⃗ is 60°. If 1/8 a⃗ is a... English · SR. TEACHER (SEC. EDU.) COMP. EXAM 2025