1.

The function \[f(x)={{(x-3)}^{2}}\] satisfies all the conditions of mean value theorem in [3, 4]. A point on\[y={{(x-3)}^{2}}\], where the tangent is parallel to the chord joining (3, 0) and (4, 1) is

A.            \[\left( \frac{7}{2},\frac{1}{2} \right)\]
B.            \[\left( \frac{7}{2},\frac{1}{4} \right)\]
C.            (1, 4)
D.            (4, 1)
Answer» C.            (1, 4)


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