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The coordinates of the vertex A… (Class 10 Maths 2023, Q5)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 5

Set in the CBSE Class 10 board exam of 2023, paper 30/2/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQCoordinate Geometry

The coordinates of the vertex A of a rectangle ABCD whose three vertices are given as , and are :

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/2/1.

Hints

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

Hint 1

Plot B, C, D on axes.

Hint 2

The fourth corner completes the rectangle with sides along the axes.

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. In a rectangle diagonals bisect each other: midpoint of BD = midpoint of AC.

  2. ?? — instead note A is opposite C... Using diagonals AC and BD: gives , not a rectangle in order; correct order B(0,0), C(3,0), D(0,4) means A is opposite B with diagonal AB, CD: midpoint of CD , so A .

    1 mark

Answer: , option (C)

Where the marks are

  • Uses diagonal midpoint (or plotting) to get A(3, 4) (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 30/2/1 (Standard): 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.