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Statement I The equation (x^(3))/(4) - s...

Statement I The equation `(x^(3))/(4) - sin pi x + (2)/(3) = 0` has atleast one solution in [-2, 2].
Statement II Let `f : [a, b] rarr R` be a function and c be a number such that `f(a) lt c lt f(b)`, then there is atleast one number `n in (a, b)` such that f(n) = c.

A

Statement I is correct, Statement II is also correct, Statement II is the correct explanation of Statement I

B

Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I

C

Statement I is correct, Statement II is incorrect

D

Statement I is incorrect, Statement II is correct.

Text Solution

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The correct Answer is:
A
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