Question

If tan$\theta$ and cot$\theta$ are the roots of the equation x² – ax + a² – 4 = 0 (0° < $\theta$ < 90°), then the correct option(s) is/are

यदि समीकरण x² – ax + a² – 4 = 0 (0° < $\theta$ < 90°) के मूल tan$\theta$ तथा cot$\theta$ हैं, तब सही विकल्प है/हैं

• A. a = $\pm \sqrt{5}$
• B. $\mathrm{sin\theta }.\mathrm{cos\theta }=\sqrt{5}$
• C. $\mathrm{tan\theta }+\mathrm{cot\theta }=\sqrt{5}$
• D. $\mathrm{sin\theta }+\mathrm{cos\theta }=\sqrt{1+\frac{2}{\sqrt{5}}}$

Answer 1

Answer: (C), (D)

$\mathrm{sin\theta }+\mathrm{cos\theta }=\sqrt{1+\frac{2}{\sqrt{5}}}$

Solution