Skip to content

Find the coordinates of the… (Class 10 Maths 2025, Q23)

questionbuddy.in/q/cbse-10-maths-2025-30-4-1-q23-coordinates-point-lies-line-produced

MathsCBSE Class 10 · Standard · Board exam 2025, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2025: question 23

Set in the CBSE Class 10 board exam of 2025, paper 30/4/1, section B, question 23, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q23 · 2 marks · Very short answerCoordinate Geometry

Find the coordinates of the point C which lies on the line AB produced such that , where coordinates of points A and B are and respectively.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/4/1.

Hints

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

Hint 1

Draw A, B, C on a line with C beyond B. If AC = 2BC, how do AB and BC compare?

Hint 2

B is the mid-point of AC; use the mid-point formula.

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. Let C be . C lies on AB produced with AC = 2BC, so AB = BC, i.e. B is the mid-point of AC.

    ½ mark

  2. ½ mark

  3. ½ mark

  4. Coordinates of C are .

    ½ mark

Answer: C(9, −13)

Where the marks are

  • Recognises B is the mid-point of AC (½ mark)
  • Finds (½ mark)
  • Finds (½ mark)
  • States C(9, −13) (½ 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 paper2025 board paper, set 30/4/1 (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.