Let A = { θ ∈ [0, 2π]: 1 + 10 Re( (2 cos θ + i sin θ)/(cos θ - 3i… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 8 April, Shift 2Trigonometric Equations

Let $A = \left\{ \theta \in [0, 2\pi] : 1 + 10\,\Re\left( \frac{2 \cos \theta + i \sin \theta}{\cos \theta - 3i \sin \theta} \right) = 0 \right\}$ . Then $\sum_{\theta \in A} \theta^2$ is equal to:

A
$\frac{27}{4} \pi^2$
B
$\frac{21}{4} \pi^2$
C
$6\pi^2$
D
$8\pi^2$

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