Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Match List I with List II.

LIST I

LIST II

 A.

 Maximum value of $f(x)=-|x+1|+3$

 I. 

 6

 B.

 Minimum value of $f(x)=(2x-1)^2+5$ 

 II. 

 5

 C. 

 Maximum value of $f(x)=6-x^2$

 III. 

 no maximum value 

 D. 

 Maximum value of $f(x)=x^3+1$

 IV.

 3

Choose the correct answer from the options given below :

Options:

A-IV, B-II, C-I, D-III

A-III, B-IV, C-I, D-II

A-I, B-II, C-III, D-IV

A-II, B-III, C-IV, D-I

Correct Answer:

A-IV, B-II, C-I, D-III

Explanation:

A. f(x) = -|x + 1| + 3

Max. value is 3 when x = -1            →          IV

B. f(x) = (2x - 1)2 + 5

Min value is 5 at x = $\frac{-1}{2}$            →          II

C. f(x) = 6 - x2

Max value is 6 at x = 0            →          I

D. f(x) = x3 + 1 (this function is always increasing)

No maximum value            →          III