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Find the ratio in which the… (Class 10 Maths 2024, Q24a)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2024: question 24(a)

Set in the CBSE Class 10 board exam of 2024, paper 30/5/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(a) · 2 marks · Very short answerCoordinate Geometry

Find the ratio in which the point divides the line segment joining the points and .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/5/1.

Hints

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

Hint 1

Assume the ratio is so that only one unknown is needed.

Hint 2

Equate the x-coordinate from the section formula to −4 and solve for k.

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 P divide AB in the ratio . By the section formula, the x-coordinate of P is

    1 mark

  2. (check: y-coordinate ✓)

    ½ mark

  3. Required ratio is .

    ½ mark

Answer: 2 : 7

Where the marks are

  • Applies section formula with ratio correctly (1 mark)
  • Solves (½ mark)
  • States ratio 2 : 7 (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 paper2024 board paper, set 30/5/1 (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.