Question

If α > β > 0 are the roots of the equation ax2 + bx + 1 = 0, and $\lim\limits_{x \to \frac{1}{\alpha}}\left(\frac{1-cos(x^2+bx+a)}{2(1-ax)^2}\right)^{1/2}=\frac{1}{k}\left(\frac{1}{\beta}-\frac{1}{\alpha}\right),$ then k is equal to

• A. α
• B. β
• C. 2α
• D. 2β

Answer 1

Answer: (C)

2α

Answer 2

The correct option is(C): 2α