MathsCBSE Class 10 · Standard · Board exam 2026, set 30/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 22(b)

Set in the CBSE Class 10 board exam of 2026, paper 30/5/1, section B, question 22(b), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(b) · 2 marks · Very short answerCoordinate Geometry

Using distance formula, prove that the points A(2, 3), B(–7, 0) and C(–1, 2) are collinear.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/5/1.

Hints

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

Hint 1

Find all three distances AB, BC and AC.

Hint 2

Write each distance in the form $k 10$ .

Hint 3

Check whether the sum of the two smaller distances equals the largest one.

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.

$A B = (- 7 - 2)^{2} + (0 - 3)^{2} = 81 + 9 = 90 = 310$
½ mark
$B C = (- 1 + 7)^{2} + (2 - 0)^{2} = 36 + 4 = 40 = 210$
½ mark
$A C = (- 1 - 2)^{2} + (2 - 3)^{2} = 9 + 1 = 10$
½ mark
$A C + B C = 10 + 210 = 310 = A B$ . The sum of two of the distances equals the third, so A, B, C are collinear (C lies between A and B).
½ mark

Answer: $A C + B C = A B = 310$ , so A, B, C are collinear.

Where the marks are

$A B = 310$ (½ mark)
$B C = 210$ (½ mark)
$A C = 10$ (½ mark)
Shows $A C + B C = A B$ and concludes collinear (½ mark)

Revise the chapter

Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)
Topic: Applications of the Distance Formula

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paper2026 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.

CBSE Class 10 Mathematics Standard 2026: question 22(b)

Hints

Step-by-step solution

Revise the chapter

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