Quadratic Equations · NDA previous year questions

2020 2 questions

1. Q432020 · 6 Sept 2020

   If $\cot \alpha$ and $\cot \beta$ are the roots of the equation $x^2-3x+2=0$, then what is $\cot (\alpha +\beta )$ equal to?

   1. A.$\frac{1}{2}$
   2. B.$\frac{1}{3}$
   3. C.2
   4. D.3
   Show answer

   Answer: B

2. Q442020 · 6 Sept 2020

   The roots $\alpha$ and $\beta$ of a quadratic equation satisfy the relations $\alpha +\beta ={\alpha }^2+{\beta }^2$ and $\alpha \beta ={\alpha }^2{\beta }^2$. What is the number of such quadratic equations?

   1. A.0
   2. B.2
   3. C.3
   4. D.4
   Show answer

   Answer: C