Which of the following points lie in the convex set of points (2, 3) and (4, 1)? (A) (3.6, 1.4) (B) (1.2, 3.8) (C) (2.4, 2.6) (D) (0.4, 4.6) Choose the most appropriate answer from the options given below:
Tap an option to check your answer.
4 marks, −1MathematicsConcavity, convexity and quasi-concavityConvex sets and functionsModerateabout 2 min
CUET-PG 2023 Shift 1 Question 89: Concavity, convexity and quasi-concavity
Answer and worked solution
Checking your account…
Concavity, convexity and quasi-concavity has come up 39 times in 6 exams since 2006.
What this question tests
This question is on Convex sets and functions, part of Concavity, convexity and quasi-concavity in Mathematics.
Sets and functions with no dents, and the inequalities that define them.
TestStop has 14 past-paper questions on this subtopic.
Similar questions from other papers
- Which of the following statements is not correct?
- Let S₁ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≥ x², x,y ≥ 0} and S₂ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≤ x², x,y ≥ 0}. Then, which of the following is CORRECT?
- The function e^(-1/2x²) is:
- Let f, g: ℝ → ℝ be f(x)=x+2 for x≤1, 2x+1 for x>1; and g(x)=2x for x≤2, x+2 for x>2. Then
- Match List I (sign of first and second derivatives) with List II (shape of the curve). List I A. f'(x) > 0 and f''(x) > 0 B. f'(x) > 0 and f''(x) 0. List II I. increas
Question from the CUET-PG 2023 Shift 1 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.