Let f: D \\toR where D=[0,1] \\cup[2,4] be defined byf(x)=\\begin{array}{cc}x{ &\end{array}, \text{if }, x \\in[0,1] ;4-x{,} , \text{if }, x \\in[2,4]. Then,

Correct Answer is : Rolle's theorem is not applicable to f in D

Rolle's theorem is applicable to {f} in {D}

Rolle's theorem is not applicable to {f} in {D}

there exists \xi\\in{D} for which {f}'( \xi)=0 but Rolle's theorem is not applicabl

WBJEE 2021 Math Solved Paper

CATEGORY - I (Q:1 to Q50)

Carry 1 mark each and only one option is correct. In case of incorrect answer or any combination of more than one answer, ¼ mark will be deducted.

Question : 40 of 75

Marks: +1, -0

Let f:D→R where D=[0,1]∪[2,4] be defined byf(x)={

x,	if	x∈[0,1]
4−x,	if	x∈[2,4]

. Then,

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