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The lines represented by… (Class 10 Maths Basic 2024, Q5)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 5

Set in the CBSE Class 10 board exam of 2024, paper 430/3/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQPair of Linear Equations in Two Variables

The lines represented by linear equations and () are

  1. (A)intersecting at .
  2. (B)intersecting at .
  3. (C)parallel.
  4. (D)coincident.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/3/1.

Hints

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

Hint 1

Sketch a vertical and a horizontal line.

Hint 2

Which point satisfies both equations?

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.

  1. is a vertical line and is a horizontal line, so they are perpendicular and meet once.

  2. The common point has , , i.e. , option (A).

    1 mark

Answer: Intersecting at , option (A)

Where the marks are

  • Identifies intersection at (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/3/1 (Basic): 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.