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Statement I for f(x)={{:((1)/(2)-x",",xl...

Statement I for `f(x)={{:((1)/(2)-x",",xlt(1)/(2)),(((1)/(2)-x)^(2)",",xge(1)/(2)):}` mean value theorem is applicable in the interval `[0, 1]`
Statement II For application of mean value theorem, f(x) must be continuous in [0,1] and differentiable in (0, 1).

A

(a) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

(b) Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

(c) Statement I is true, Statement II is false

D

(d) Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
D
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