Linear Inequalities MCQ Questions for Class 11 Math’s Chapter 6 with Answers

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Its our pleasure to assist you towards your goal .for inbuilt quality question with standard solution may help you a lot .Class 11 Mathematics book Chapter 6 Linear Inequalities with Answers Pdf free download .This may assist you to understand and check your knowledge about the chapters . MCQ question and solution may help you to get better performance in exam .These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The solution set of the equation 4{x} = x +[x], where {x} and [x] denote the fractional and integral parts of a real number ‘x’ respectively, is

(i) { 0}
(ii) {0, 5/3}
(iii) [0, ∞)
(iv) none of these

(ii) {0, 5/3}

Q2. If (x + 3)/(x – 2) > 1/2 then x lies in the interval

(i) (-8, ∞)
(ii) (8, ∞)
(iii) (∞, -8)
(iv) (∞, 8)

(i) (-8, ∞)

Q3. If |x| < 5 then the value of x lies in the interval

(i) (-∞, -5)
(ii) (∞, 5)
(iii) (-5, ∞)
(iv) (-5, 5)

(iv) (-5, 5)

Q4. The number of integral solutions of x+2 / x2+1 >1/2

(i) 4
(ii) 5
(iii) 3
(iv) none of these

(iii) 3

Q5. If |x| = -5 then the value of x lies in the interval

(i) (-5, ∞)
(ii) (5, ∞)
(iii) (∞, -5)
(iv) No solution

(iv) No solution

Q6. ax + b > 0 is __

(i) double inequality
(ii) quadratic inequality
(iii) numerical inequality
(iv) linear inequality

(iv) linear inequality

Q7. The solution set of the inequality 1/x < is

(i) (1, ∞)
(ii) (-∞, 1)
(iii) (-∞, 0)∪(1, ∞)
(iv) none of these

(iii) (-∞, 0)∪(1, ∞)

Q8. The graph of the inequations x ≤ 0 , y ≤ 0, and 2x + y + 6 ≥ 0 is

(i) exterior of a triangle
(ii) a triangular region in the 3rd quadrant
(iii) in the 1st quadrant
(iv) none of these

(ii) a triangular region in the 3rd quadrant

Q9. The solution of the -12 < (4 -3x)/(-5) < 2 is

(i) 56/3 < x < 14/3
(ii) -56/3 < x < -14/3
(iii) 56/3 < x < -14/3
(iv) -56/3 < x < 14/3

(iv) -56/3 < x < 14/3

Q10. The region of the XOY-plane represented by the inequalities x ≥ 6, y ≥ 2, 2x + y ≤ 10 is

(i) unbounded
(ii) a polygon
(iii) none of these
(iv) exterior of a triangle

(iii) none of these

Q11. Solve: -1/(|x| – 2) ≥ 1 where x ∈ R, x ≠ ±2

(i) (-2, -1)
(ii) (-2, 2)
(iii) (-2, -1) ∪ (1, 2)
(iv) None of these

(iii) (-2, -1) ∪ (1, 2)

Q12. Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then

(i) x Î(-∞,- 4]∪[3,∞)
(ii) x Î[-3,1]
(iii) x Î(-∞,-4)∪(3,∞)
(iv) x Î[-4,3]

(i) x Î(-∞,- 4]∪[3,∞)

Q13. Given that x, y and b are real numbers and x < y , b < 0, then

(i) x/b < y/b (ii) x/b ≤ y/b (iii) x/b > y/b
(iv) x/b ≥ y/b

(iii) x/b > y/b

Q14. If -2 < 2x – 1 < 2 then the value of x lies in the interval

(i) (1/2, 3/2)
(ii) (-1/2, 3/2)
(iii) (3/2, 1/2)
(iv) (3/2, -1/2)

(ii) (-1/2, 3/2)

Q15. The solution of |2/(x – 4)| > 1 where x ≠ 4 is

(i) (2, 6)
(ii) (2, 4) ∪ (4, 6)
(iii) (2, 4) ∪ (4, ∞)
(iv) (-∞, 4) ∪ (4, 6)

(ii) (2, 4) ∪ (4, 6)

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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