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The points (-5, 0), (5, 0) and… (Class 10 Maths 2025, Q6)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 6

Set in the CBSE Class 10 board exam of 2025, paper 30/2/1, 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

The points , and are the vertices of a triangle which is a/an :

  1. (A)right-angled triangle
  2. (B)isosceles triangle
  3. (C)equilateral triangle
  4. (D)scalene triangle

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/2/1.

Hints

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

Hint 1

Find all three side lengths using the distance formula.

Hint 2

Compare the sides. Also check whether Pythagoras' theorem holds.

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 , , . Then , and .

    ½ mark

  2. Two sides are equal. Also , so the triangle is not right-angled. It is an isosceles triangle. Option (B).

    ½ mark

Answer: Isosceles triangle, option (B)

Where the marks are

  • Computes the sides and concludes isosceles, option (B) (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 paper2025 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.