﻿ For the function f(x) = (x - 1)(x - 2) defined on [0, ½] the value of c satisfying Lagrange s mean value theorem is | Relations and Functions

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Relations and Functions

Multiple Choice Questions

101.

Suppose f(x) = x(x + 3)(x - 2), x $\in$ [- 1, 4]. Then, a value of c in (- 1, 4) satisfying f'(c) = 10 is

• 2

• $\frac{5}{2}$

• 3

• $\frac{7}{2}$

102.

103.For the function f(x) = (x - 1)(x - 2) defined on [0, ½] the value of c satisfying Lagrange's mean value theorem is$\frac{1}{5}$ $\frac{1}{3}$ $\frac{1}{7}$ $\frac{1}{4}$

D.

$\frac{1}{4}$

104.

• $\frac{\sqrt{17}}{2}$

105.

Let f(x) be a quadratic polynomial such that f( – 1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in :

• (1, 3)

• ( - 1, 0)

• ( - 3, - 1)

• (0, 1)

106.