Miscellaneous Exercise - 2

(i) If $\alpha ,\beta$$\alpha , \beta$ are the roots of $3x^{2} + 5x - 2 = 0$ , then $\alpha +\beta$$\alpha + \beta$ is

• (a) $\frac{5}{3}$$\frac{5}{3}$
• (b) $\frac{3}{5}$$\frac{3}{5}$
• (c) $\frac{-5}{3}$$\frac{-5}{3}$
• (d) $\frac{-2}{3}$$\frac{-2}{3}$

(ii) If $\alpha ,\beta$$\alpha , \beta$ are the roots of $7x^{2} - x + 4 = 0$ , then $\alpha \beta$$\alpha \beta$ is

• (a) $\frac{-1}{7}$$\frac{-1}{7}$
• (b) $\frac{4}{7}$$\frac{4}{7}$
• (c) $\frac{7}{4}$$\frac{7}{4}$
• (d) $\frac{-4}{7}$$\frac{-4}{7}$

(iii) Roots of the equation $4x^{2} - 5x + 2 = 0$ are

• (a) irrational
• (b) imaginary
• (c) rational
• (d) none of these