Let A={θ∈[0,2π]: 1+10 Re((2cosθ+i sinθ)... | Complex Numbers

JEE MAIN 2025

08-04-25 S2

Question

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

Select the correct option:

$\frac{27}{4} \pi^2$

$6 \pi^2$

$8 \pi^2$

$\frac{21}{4} \pi^2$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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