🛠️ JEE➗ Maths

If \(\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2}\) is the solution of \(4 \cos \theta+5 \sin \theta=1\), then the v…

If \(\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2}\) is the solution of \(4 \cos \theta+5 \sin \theta=1\), then the value of \(\tan \alpha\) is

[JEE Main 2024, 29 Jan (Shift 1)]

\(\frac{10-\sqrt{10}}{12}\)

\(\frac{\sqrt{10}-10}{12}\)

\(\frac{\sqrt{10}-10}{6}\)

\(\frac{10-\sqrt{10}}{6}\)

🔒

Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

See every question on Trigonometric Functions, or browse the full JEE question bank.

If \(\alpha,-\frac{\pi}{2}&lt;\alpha&lt;\frac{\pi}{2}\) is the solution of \(4 \cos \theta+5 \sin \theta=1\), then the v…