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The sum of all the integral values of \(p\) such that the equation \(3 \sin ^2 x+12 \cos x-3=p, x \in \mathbb{R}\), has …

Q1

The sum of all the integral values of \(p\) such that the equation \(3 \sin ^2 x+12 \cos x-3=p, x \in \mathbb{R}\), has at least one solution, is:


[JEE Main 2026, 5 Apr (Shift 1)]

a

\(–54\)

b

\(–60\)

c

\(-75\)

d

\(–84\)

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