Functions 1 Question 10

Match the Columns

Match the conditions/expressions in Column I with statement in Column II.

10.

Let f(x)=x26x+5x25x+6.

(2007,6 M)

Column I Column II
A. If 1<x<1, then f(x) satisfies p. 0<f(x)<1
B. If 1<x<2, then f(x) satisfies q. f(x)<0
C. If 3<x<5, then f(x) satisfies r. f(x)>0
D. If x>5, then f(x) satisfies s. f(x)<1
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Answer:

Correct Answer: 10. (Ap;Bq;Cq;Dp;)

Solution:

  1. Given, f(x)=(x1)(x5)(x2)(x3)

The graph of f(x) is shown as:

A. If 1<x<10<f(x)<1

B. If 1<x<2f(x)<0

C. If 3<x<5f(x)<0

D. If x>50<f(x)<1



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