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AD is a median of Δ ABC with… (Class 10 Maths 2024, Q6)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 6

Set in the CBSE Class 10 board exam of 2024, paper 30/1/1, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q6 · 1 mark · MCQCoordinate Geometry

AD is a median of with vertices A(5, -6), B(6, 4) and C(0, 0). Length AD is equal to:

  1. (A) units
  2. (B) units
  3. (C) units
  4. (D)10 units

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

Hints

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

Hint 1

A median joins a vertex to the mid-point of the opposite side.

Hint 2

Find the mid-point of BC, then use the distance 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. D is the mid-point of BC: .

  2. units. The answer is option (A).

    1 mark

Answer: units, option (A)

Where the marks are

  • Finds the mid-point and the distance , option (A) (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 paper2024 board paper, set 30/1/1 (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.