NDA 2025 · PYQ · Inverse Trigonometry · easy
If k is a root of x² - 4x + 1 = 0, then what is tan⁻¹k + tan⁻¹(1/k) equal to?
Answer
The correct answer is D: π/2. The roots of x² - 4x + 1 = 0 are 2±√3, both positive. For any k > 0, tan⁻¹k + tan⁻¹(1/k) = π/2.
- A.-π/2
- B.0
- C.π/4
- D.π/2✓ Correct
The roots of x² - 4x + 1 = 0 are 2±√3, both positive. For any k > 0, tan⁻¹k + tan⁻¹(1/k) = π/2.
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