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Q.

For which interval, the function $\frac{x^{2} - 3 x}{x - 1}$ satisfies all the conditions of Rolle's theorem

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a

$[0, 3]$

b

For no interval

c

$[1.5, 3]$

d

$[- 3, 0]$

answer is D.

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Detailed Solution

$f^{'} (x)$ is not defined at $x = 1$ i.e, in $(0, 3) \Rightarrow Also f (a) = f (b)$ does not hold for $[- 3, 0]$ and $[1.5, 3]$

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For which interval, the function x2−3xx−1 satisfies all the conditions of Rolle's theorem