MathsCBSE Class 12 · Board exam 2024, set 65/1/1 · 1 mark · MCQ

CBSE Class 12 Mathematics 2024: question 17

Set in the CBSE Class 12 board exam of 2024, paper 65/1/1, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQLinear Programming

The number of corner points of the feasible region determined by constraints $x \geq 0, y \geq 0, x + y \geq 4$ is :

(A)0
(B)1
(C)2
(D)3

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 65/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Sketch the line $x + y = 4$ in the first quadrant.

Hint 2

The region is unbounded; count where its boundary lines meet.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

The feasible region is the unbounded part of the first quadrant lying on or beyond the line $x + y = 4$ .
½ mark
Its corner points are $(4, 0)$ and $(0, 4)$ , so there are 2 corner points.
½ mark

Answer: (C) 2

Where the marks are

Identifies the corners $(4, 0)$ and $(0, 4)$ (1 mark)

Revise the chapter

Chapter: Linear Programming (notes, formulas, where marks are lost and every past question)
Topic: Feasible Region and Constraints

Practise this chapterBoard-style questions from Linear Programming, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 65/1/1: every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.

CBSE Class 12 Mathematics 2024: question 17

Hints

Step-by-step solution

Revise the chapter

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