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MathsJEE Main 5 Apr 2026, Shift 1·Q12·MCQ·Easy–moderate

Trigonometry · Range of trigonometric expression

The sum of all the integral values of pp such that the equation 3sin⁡2x+12cos⁡x−3=p3\sin^2x + 12\cos x - 3 = p, x∈Rx \in \mathbb{R}, has at least one solution, is:
  1. (1)−54-54
  2. (2)−60-60
  3. (3)−75-75
  4. (4)−84-84

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See the full 5 Apr 2026, Shift 1 paper