SATHEE: Functions 1 Question 10

Functions 1 Question 10

10. Let $f (x) = \frac{x^{2} - 6 x + 5}{x^{2} - 5 x + 6}$ .

$(2007, 6$ 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.	$f (x) < 1$

Objective Question II

(One or more than one correct option)

Show Answer

Answer:

Correct Answer: 10. (c)

Solution:

Given, $f (x) = \frac{(x - 1) (x - 5)}{(x - 2) (x - 3)}$

The graph of $f (x)$ is shown as:

A. If $- 1 < x < 1 \Rightarrow 0 < f (x) < 1$

B. If $1 < x < 2 \Rightarrow f (x) < 0$

C. If $3 < x < 5 \Rightarrow f (x) < 0$

D. If $x > 5 \Rightarrow 0 < f (x) < 1$

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Functions 1 Question 10

10. Let f(x)=x2−6x+5x2−5x+6.

Objective Question II

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10. Let $f (x) = \frac{x^{2} - 6 x + 5}{x^{2} - 5 x + 6}$ .