engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Calculus Mean Value Theorem
By Lagrange’s mean value theorem which of the following statement is true:
a) If a curve has a tangent at each of its points then there exists at least one-point C on this curve, the tangent at which is parallel to chord AB
b) If f’(x) = 0 in the interval then f(x) has same value for every value of x in (a, b)
1
(a) alone is true
2
(b) alone is true
3
Both (a) and (b) are true
4
Neither (a) nor (b) is true