MCQ Questions for Class 11 Maths Chapter 6 Linear Inequalities with Answers
MCQ Questions for Class 11 Maths Chapter 6 Linear Inequalities with Answers
Q.1 The solution of the 15 < 3(x – 2)/5 < 0 is
(a) 27 < x < 2
(b) 27 < x < -2
(c) -27 < x < 2
(d) -27 < x < -2
Answer
(a) 27 < x < 2Q.2 Solve: |x – 1| ≤ 5, |x| ≥ 2
(a) [2, 6]
(b) [-4, -2]
(c) [-4, -2] ∪ [2, 6]
(d) None of these
Answer
(c) [-4, -2] ∪ [2, 6]Q.3 The solution of the function f(x) = |x| > 0 is
(a) R
(b) R – {0}
(c) R – {1}
(d) R – {-1}
Answer
(b) R – {0}Q.4 The solution of |2/(x – 4)| > 1 where x ≠ 4 is
(a) (2, 6)
(b) (2, 4) ∪ (4, 6)
(c) (2, 4) ∪ (4, ∞)
(d) (-∞, 4) ∪ (4, 6)
Answer
(b) (2, 4) ∪ (4, 6)Q.5 If x² < -4 then the value of x is
(a) (-2, 2)
(b) (2, ∞)
(c) (-2, ∞)
(d) No solution
Answer
(d) No solutionQ.6 Solve: 1 ≤ |x – 1| ≤ 3
(a) [-2, 0]
(b) [2, 4]
(c) [-2, 0] ∪ [2, 4]
(d) None of these
Answer
(c) [-2, 0] ∪ [2, 4]Q.7 The solution of the 15 < 3(x – 2)/5 < 0 is
(a) 27 < x < 2
(b) 27 < x < -2
(c) -27 < x < 2
(d) -27 < x < -2
Answer
(a) 27 < x < 2Q.8 If x² = 4 then the value of x is
(a) -2
(b) 2
(c) -2, 2
(d) None of these
Answer
(c) -2, 2Q.9 Solve: f(x) = {(x – 1)×(2 – x)}/(x – 3) ≥ 0
(a) (-∞, 1] ∪ (2, ∞)
(b) (-∞, 1] ∪ (2, 3)
(c) (-∞, 1] ∪ (3, ∞)
(d) None of these
Answer
(b) (-∞, 1] ∪ (2, 3)Q.10 If |x| < 5 then the value of x lies in the interval
(a) (-∞, -5)
(b) (∞, 5)
(c) (-5, ∞)
(d) (-5, 5)
Answer
(d) (-5, 5)Q.11 The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is
(a) none of these
(b) interior of a triangle including the points on the sides
(c) in the 2nd quadrant
(d) exterior of a triangle
Answer
(b) interior of a triangle including the points on the sidesQ.12 Solve: |x – 3| < 5
(a) (2, 8)
(b) (-2, 8)
(c) (8, 2)
(d) (8, -2)
Answer
(b) (-2, 8)Q.13 If x² = -4 then the value of x is
(a) (-2, 2)
(b) (-2, ∞)
(c) (2, ∞)
(d) No solution
Answer
(d) No solutionQ.14 The value of x for which |x + 1| + √(x – 1) = 0
(a) 0
(b) 1
(c) -1
(d) No value of x
Answer
(d) No value of xQ.15 If |x| = -5 then the value of x lies in the interval
(a) (-5, ∞)
(b) (5, ∞)
(c) (∞, -5)
(d) No solution
Answer
(d) No solutionQ.16 Sum of two rational numbers is …………….. number.
(a) rational
(b) irrational
(c) Integer
(d) Both 1, 2 and 3
Answer
(a) rationalQ.17 If a is an irrational number which is divisible by b then the number b
(a) must be rational
(b) must be irrational
(c) may be rational or irrational
(d) None of these
Answer
(b) must be irrationalQ.18 The region of the XOY-plane represented by the inequalities x ≥ 6, y ≥ 2, 2x + y ≤ 10 is
(a) unbounded
(b) a polygon
(c) none of these
(d) exterior of a triangle
Answer
(c) none of theseQ.19 Solve: -1/(|x| – 2) ≥ 1 where x ∈ R, x ≠ ±2
(a) (-2, -1)
(b) (-2, 2)
(c) (-2, -1) ∪ (1, 2)
(d) None of these
Answer
(c) (-2, -1) ∪ (1, 2)Q.20 The solution of the -12 < (4 -3x)/(-5) < 2 is
(a) 56/3 < x < 14/3
(b) -56/3 < x < -14/3
(c) 56/3 < x < -14/3
(d) -56/3 < x < 14/3
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