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Question: If α is a repeated root of ax<sup>2</sup> + bx + c = 0, then \(\sqrt{\log(x^{2} - 6x + 6)}\)is –...

If α is a repeated root of ax2 + bx + c = 0, then log(x26x+6)\sqrt{\log(x^{2} - 6x + 6)}is –

A

a

B

b

C

c

D

0

Answer

a

Explanation

Solution

limxαtanα(xα)2(xα)2\lim _ { x \rightarrow \alpha } \frac { \tan \alpha ( x - \alpha ) ^ { 2 } } { ( x - \alpha ) ^ { 2 } } = a