Q.

Statement - 1 : If Rolle's theorem be applied in (x), then Lagrange Mean Value Theorem (LMVT) is also applied in (x).
Statement - 2 : Both Rolle's theorem and LMVT cannot be applied in   (  x  )=sinx in  -π4,π4
 

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a

Statement-1 is false, Statement-2 is true 
 

b

Statement -1 is true, Statement-2 is true;
Statement-2 is a correct explanation for Statement-1 
 

c

Statement - 1 is true, Statement-2 is true;
Statement-2 is not a corret explanation for
Statement-1 
 

d

Statement-1 is true, Statement-2 is false 
 

answer is D.

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Detailed Solution

(I)  f(a)=f(b) Rolle’s theorem applicable

 L.M.V.T also applicable

(II) f(x)=|sin |x||

is not differentiable at x=0

 Its not applicable

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