Question

For what values of k will the equation

$S = 0S = ax + (1 - a)x^{2}\ \forall a \in (0,\infty)$ have equal roots.

• A. $S = ax + (1 - a)x^{2}\ \forall a \in R$
• B. $S = ax + (1 - a)x^{2}\ \forall a \in (0,2)$
• C. $\alpha$
• D. $\beta$

Answer 1

Answer: (B)

$S = ax + (1 - a)x^{2}\ \forall a \in (0,2)$

Answer 2

On checking, the condition is satisfied for $x^{2} + \alpha x - \beta = 0$.